d/dx[xⁿ]=nxⁿ⁻¹

∫₀¹ f(x) dx

F = ma

e^(iπ)+1=0

P(A|B)=P(A∩B)/P(B)

σ²=Σ(xᵢ-μ)²/N

dy/dx = f′(x)

∫ uv′ = uv − ∫ u′v

x̄ = (∑xᵢ)/n

lim(h→0)[f(x+h)−f(x)]/h

sin²θ+cos²θ=1

∑ n(n+1)/2

log(ab)=log a+log b

ax²+bx+c=0

∫f(x)dx=F(x)+C

C(n,r)=n!/r!(n−r)!

A = √3/4 · a²

Adaptive, Syllabus-Aligned Learning

Where practice meets
intelligence.

Prepzy measures your understanding concept-by-concept, finds your gaps, and builds a clear path to AP exam confidence — automatically, every day.

Start Learning Free See how it works

100+

students enrolled

94%

would recommend

4.9★

avg rating

AP Calculus AB · Derivatives

If f(x) = x³ − 5x² + 2x, what is f′(2)?

A. f′(2) = 4

B. f′(2) = −2

C. f′(2) = 6

D. f′(2) = −4

5-Layer Explanation

Why f′(2) = −2

Step-by-step breakdown

Concept

Power Rule: d/dx[xⁿ] = nxⁿ⁻¹

Rule

Differentiate each term independently

Steps

f′(x) = 3x²−10x+2 → f′(2) = 12−20+2 = −2

Answer

f′(2) = −2 ✓ (option B)

Mistake

Forgetting to evaluate at x=2 after differentiating

🔬

Weakness detected

You've missed chain-rule evaluations ×3 this week. Tomorrow's plan targets this specifically.

Derivatives mastery

72%

Tomorrow's personalised plan

Chain Rule applications

×4

Integration fundamentals

×3

Power Rule review

×2

Scroll

Weakness Diagnosis ✦Adaptive QuestionsLive Mastery Score ✦Daily Study PlanAP Score Forecast ✦Spaced Repetition

— The Adaptive Loop

How Prepzy learns you.

Step 01

Select Concept

Your live mastery model picks the exact concept you most need to strengthen — no guessing, no wasted time.

Live mastery model

Chain Rule

42%

Power Rule

78%

Limits

61%

⬆ Targeting: Chain Rule

Step 02

Generate Question

Fresh AP-style question at your exact difficulty — never recycled, always targeting your weakest gap.

AP Calc AB · Chain Rule

If g(x)=sin(x²), find g′(x).

A. cos(x²)

B. 2x cos(x²) ✓

Difficulty 3.4/5 · matched to your level

Step 03

You Answer

3-stage progressive hints guide your thinking — you build real understanding, not just lucky guesses.

Progressive hints

Think about the chain rule

Identify outer & inner function

Full step-by-step unlocked

Step 04

Classify the Error

Every wrong answer is tagged — Conceptual, Procedural, Computational, or Prerequisite Gap — so we know exactly what broke down.

Error taxonomy

Conceptual

Misunderstood chain rule

Procedural

Skipped derivative step

Computational

Arithmetic error at step 3

Step 05

Rebuild the Plan

Mastery model updates instantly. Tomorrow's study plan and score forecast rebuild around the new you — automatically.

Plan rebuilt now

Chain Rule (×4)

Added

Power Rule (×2)

Limit fundamentals (×3)

Score forecast:

+0.3 pts →

f′(x)=lim[f(x+h)−f(x)]/h

σ=√(Σ(xᵢ−μ)²/N)

PV=nRT

χ²=Σ(O−E)²/E

ΔS > 0

v=v₀+at

ΔG=ΔH−TΔS

r=√(x²+y²)

P(A∪B)=P(A)+P(B)−P(A∩B)

The study problem

Most AP prep wastes your time.

You review the same material as everyone else, guess what to study, and still feel underprepared on exam day. There's a better way.

"I studied for weeks and still didn't know which concepts to actually focus on. Prepzy fixed that in one session."

Same questions for everyone

GenericvsPrepzy

Adapts to your exact gaps, every session

You guess what to study

ManualvsPrepzy

AI-built plan, rebuilt after every answer

Just "right" or "wrong"

VaguevsPrepzy

Error classified: Conceptual, Procedural, Gap

Fixed recycled question bank

StaticvsPrepzy

Fresh questions at your exact level, always

Vague overall score

BlindvsPrepzy

Live mastery score per concept, always visible

Everything Prepzy does

Built to get you to a 5.

Every feature works together — from the first question to exam day.

🔬

Weakness Diagnosis

Every error is tagged by type — Conceptual, Procedural, or Prerequisite Gap. Our mastery model knows exactly where your knowledge breaks down.

⚡

Adaptive Questions

Fresh AP-style questions generated at your exact difficulty level. Never recycled, always targeting the edge of your current ability.

🧠

5-Layer Explanations

Concept → Rule → Steps → Answer → Common Mistake. Every question explains the why, not just the what.

💡

Progressive Hints

3-stage hints guide your thinking without giving away the answer — so you actually learn. Hint usage is tracked and factored into your mastery score.

📅

Daily Study Plan

⚡ Soon

Rebuilt automatically after every session. Your weakest spots always come first — no willpower or planning required.

🔄

Spaced Repetition

Mastered concepts resurface at scientifically optimal intervals. Knowledge actually sticks for the long term, not just until exam week.

👻

Ghost Solver

⚡ Soon

Upload any AP question and the AI walks you through the full solution step-by-step, in your own personalized study style.

📊

Analytics Dashboard

Study time, accuracy trend, streak, concept-level mastery score — all live, always visible, always actionable.

ax²+bx+c=0

∫f(x)dx=F(x)+C

sin²θ+cos²θ=1

lim(x→0)sin(x)/x=1

∑n(n+1)/2

e^(iπ)+1=0

The Prepzy impact

Most students start with a 3.
Prepzy gets you to a 5.

where you start

avg AP score without
targeted adaptive prep

→

where Prepzy takes you

students with 60+ active days
avg. +1.8 score improvement

Improve after 60 active days

0 pts

Avg. practice score jump in 2 weeks

Reach 80%+ mastery in 3 weeks

sin²θ+cos²θ=1

∫eˣ dx = eˣ+C

n! = n·(n−1)·…·1

E=mc²

Δx=v₀t+½at²

log_b(xy)=log_b x+log_b y

pH=−log[H⁺]

ȳ=Σy/n

Subjects covered

All your APs. One platform.

AP Calculus AB

AP Calculus BC

AP Statistics

AP Physics 1

AP Biology

AP Chemistry

AP US History

AP Psychology

AP Economics

AP Computer Science A

In their words

Real students.
Real 5s.

100+

Students on waitlist

94%

Would recommend

4.9★

Average rating

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

e^(iπ)+1=0

∫₀^∞ e^(−x²)dx=√π/2

F=G·m₁m₂/r²

C(n,k)=n!/k!(n−k)!

d/dx[sin x]=cos x

ŷ=β₀+β₁x

lim(x→0)sin(x)/x=1

Build your
AP confidence.

Join 100+ students learning concept-by-concept. AP Calculus is live now — more subjects landing soon.

Start Learning Free See how it works

No credit card needed · It's free to start!

d/dx[xⁿ]=nxⁿ⁻¹

∫₀¹ f(x) dx

F = ma

e^(iπ)+1=0

P(A|B)=P(A∩B)/P(B)

σ²=Σ(xᵢ-μ)²/N

dy/dx = f′(x)

∫ uv′ = uv − ∫ u′v

x̄ = (∑xᵢ)/n

lim(h→0)[f(x+h)−f(x)]/h

sin²θ+cos²θ=1

∑ n(n+1)/2

log(ab)=log a+log b

ax²+bx+c=0

∫f(x)dx=F(x)+C

C(n,r)=n!/r!(n−r)!

A = √3/4 · a²

Adaptive, Syllabus-Aligned Learning

Where practice meets
intelligence.

Prepzy measures your understanding concept-by-concept, finds your gaps, and builds a clear path to AP exam confidence — automatically, every day.

Start Learning Free See how it works

100+

students enrolled

94%

would recommend

4.9★

avg rating

AP Calculus AB · Derivatives

If f(x) = x³ − 5x² + 2x, what is f′(2)?

A. f′(2) = 4

B. f′(2) = −2

C. f′(2) = 6

D. f′(2) = −4

5-Layer Explanation

Why f′(2) = −2

Step-by-step breakdown

Concept

Power Rule: d/dx[xⁿ] = nxⁿ⁻¹

Rule

Differentiate each term independently

Steps

f′(x) = 3x²−10x+2 → f′(2) = 12−20+2 = −2

Answer

f′(2) = −2 ✓ (option B)

Mistake

Forgetting to evaluate at x=2 after differentiating

🔬

Weakness detected

You've missed chain-rule evaluations ×3 this week. Tomorrow's plan targets this specifically.

Derivatives mastery

72%

Tomorrow's personalised plan

Chain Rule applications

×4

Integration fundamentals

×3

Power Rule review

×2

Scroll

Weakness Diagnosis ✦Adaptive QuestionsLive Mastery Score ✦Daily Study PlanAP Score Forecast ✦Spaced Repetition

— The Adaptive Loop

How Prepzy learns you.

Step 01

Select Concept

Your live mastery model picks the exact concept you most need to strengthen — no guessing, no wasted time.

Live mastery model

Chain Rule

42%

Power Rule

78%

Limits

61%

⬆ Targeting: Chain Rule

Step 02

Generate Question

Fresh AP-style question at your exact difficulty — never recycled, always targeting your weakest gap.

AP Calc AB · Chain Rule

If g(x)=sin(x²), find g′(x).

A. cos(x²)

B. 2x cos(x²) ✓

Difficulty 3.4/5 · matched to your level

Step 03

You Answer

3-stage progressive hints guide your thinking — you build real understanding, not just lucky guesses.

Progressive hints

Think about the chain rule

Identify outer & inner function

Full step-by-step unlocked

Step 04

Classify the Error

Every wrong answer is tagged — Conceptual, Procedural, Computational, or Prerequisite Gap — so we know exactly what broke down.

Error taxonomy

Conceptual

Misunderstood chain rule

Procedural

Skipped derivative step

Computational

Arithmetic error at step 3

Step 05

Rebuild the Plan

Mastery model updates instantly. Tomorrow's study plan and score forecast rebuild around the new you — automatically.

Plan rebuilt now

Chain Rule (×4)

Added

Power Rule (×2)

Limit fundamentals (×3)

Score forecast:

+0.3 pts →

f′(x)=lim[f(x+h)−f(x)]/h

σ=√(Σ(xᵢ−μ)²/N)

PV=nRT

χ²=Σ(O−E)²/E

ΔS > 0

v=v₀+at

ΔG=ΔH−TΔS

r=√(x²+y²)

P(A∪B)=P(A)+P(B)−P(A∩B)

The study problem

Most AP prep wastes your time.

You review the same material as everyone else, guess what to study, and still feel underprepared on exam day. There's a better way.

"I studied for weeks and still didn't know which concepts to actually focus on. Prepzy fixed that in one session."

Same questions for everyone

GenericvsPrepzy

Adapts to your exact gaps, every session

You guess what to study

ManualvsPrepzy

AI-built plan, rebuilt after every answer

Just "right" or "wrong"

VaguevsPrepzy

Error classified: Conceptual, Procedural, Gap

Fixed recycled question bank

StaticvsPrepzy

Fresh questions at your exact level, always

Vague overall score

BlindvsPrepzy

Live mastery score per concept, always visible

Everything Prepzy does

Built to get you to a 5.

Every feature works together — from the first question to exam day.

🔬

Weakness Diagnosis

Every error is tagged by type — Conceptual, Procedural, or Prerequisite Gap. Our mastery model knows exactly where your knowledge breaks down.

⚡

Adaptive Questions

Fresh AP-style questions generated at your exact difficulty level. Never recycled, always targeting the edge of your current ability.

🧠

5-Layer Explanations

Concept → Rule → Steps → Answer → Common Mistake. Every question explains the why, not just the what.

💡

Progressive Hints

3-stage hints guide your thinking without giving away the answer — so you actually learn. Hint usage is tracked and factored into your mastery score.

📅

Daily Study Plan

⚡ Soon

Rebuilt automatically after every session. Your weakest spots always come first — no willpower or planning required.

🔄

Spaced Repetition

Mastered concepts resurface at scientifically optimal intervals. Knowledge actually sticks for the long term, not just until exam week.

👻

Ghost Solver

⚡ Soon

Upload any AP question and the AI walks you through the full solution step-by-step, in your own personalized study style.

📊

Analytics Dashboard

Study time, accuracy trend, streak, concept-level mastery score — all live, always visible, always actionable.

ax²+bx+c=0

∫f(x)dx=F(x)+C

sin²θ+cos²θ=1

lim(x→0)sin(x)/x=1

∑n(n+1)/2

e^(iπ)+1=0

The Prepzy impact

Most students start with a 3.
Prepzy gets you to a 5.

where you start

avg AP score without
targeted adaptive prep

→

where Prepzy takes you

students with 60+ active days
avg. +1.8 score improvement

Improve after 60 active days

0 pts

Avg. practice score jump in 2 weeks

Reach 80%+ mastery in 3 weeks

sin²θ+cos²θ=1

∫eˣ dx = eˣ+C

n! = n·(n−1)·…·1

E=mc²

Δx=v₀t+½at²

log_b(xy)=log_b x+log_b y

pH=−log[H⁺]

ȳ=Σy/n

Subjects covered

All your APs. One platform.

AP Calculus AB

AP Calculus BC

AP Statistics

AP Physics 1

AP Biology

AP Chemistry

AP US History

AP Psychology

AP Economics

AP Computer Science A

In their words

Real students.
Real 5s.

100+

Students on waitlist

94%

Would recommend

4.9★

Average rating

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

★★★★★

"This is exactly what I needed for AP Calc. It knows which topics I keep getting wrong and drills those. My practice scores went up 18 points."

James Kowalski

AP Calculus · Junior

★★★★★

"The exam simulation mode is like taking the real AP exam. Helped me get comfortable with the timing and format."

Ryan O'Brien

AP Calculus · Senior

e^(iπ)+1=0

∫₀^∞ e^(−x²)dx=√π/2

F=G·m₁m₂/r²

C(n,k)=n!/k!(n−k)!

d/dx[sin x]=cos x

ŷ=β₀+β₁x

lim(x→0)sin(x)/x=1

Build your
AP confidence.

Join 100+ students learning concept-by-concept. AP Calculus is live now — more subjects landing soon.

Start Learning Free See how it works

No credit card needed · It's free to start!

How Prepzy learns you.

Select Concept

Generate Question

You Answer

Classify the Error

Rebuild the Plan

Most AP prep wastes your time.

Built to get you to a 5.

Most students start with a 3.Prepzy gets you to a 5.

All your APs. One platform.

Real students.Real 5s.

Build yourAP confidence.

How Prepzy learns you.

Select Concept

Generate Question

You Answer

Classify the Error

Rebuild the Plan

Most AP prep wastes your time.

Built to get you to a 5.

Most students start with a 3.Prepzy gets you to a 5.

All your APs. One platform.

Real students.Real 5s.

Build yourAP confidence.

Most students start with a 3.
Prepzy gets you to a 5.

Real students.
Real 5s.

Build your
AP confidence.

Most students start with a 3.
Prepzy gets you to a 5.

Real students.
Real 5s.

Build your
AP confidence.