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calc_homework.jpg

AP Calculus BC · 2 steps

Problem: Evaluate ∫(3x² + 2x) dx

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Step 1: Split: ∫3x²dx + ∫2x dx

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Step 2: = x³ + x² ← forgot +C

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AP Calc BC

Unit 3 · Differentiation Rules

Chain Rule

S

Product Rule

A

Quotient Rule

B

Implicit Diff.

C

Related Rates

C

⚡

Weakest Concept

Related Rates

Unit 4 · Practice recommended

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Practice Problem C-Tier Gap

Targeting: Related Rates

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Your Solution

1

2

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Units

Unit 3 3

Unit 5 5

Unit 7 2

Unit 3 — Differentiation Rules

3 mistakes · Product Rule

d/dx [x³ · sin x]

⚡ Execution

Forgot second term — wrote x³cos x, missing 3x²sin x

d/dx [x² / (x + 1)]

💡 Conceptual

Divided derivatives instead of applying quotient rule

d/dx [eˣ · ln x]

⚡ Execution

Sign error: wrote −(1/x)eˣ for the second product term

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Know exactly whereyour math breaks down.

Reads your work,step by step.

A live map of what you know—and what you don't.

Practice that targetswhere you struggle.

Stop making thesame mistake twice.

Start detecting whereyour math breaks down.

Know exactly where
your math breaks down.

Reads your work,
step by step.

A live map of what you know—
and what you don't.

Practice that targets
where you struggle.

Stop making the
same mistake twice.

Start detecting where
your math breaks down.