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AP Calculus AB Final Exam Fall 2024

AP Calculus AB Final Exam Fall 2024

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product rule for differentiation?

Back

If \( f(x) = g(x)h(x) \), then \( f'(x) = g'(x)h(x) + g(x)h'(x) \).

2.

FLASHCARD QUESTION

Front

Differentiate the function \( y = (3x^4 - 7)(5x^2 + 1) \).

Back

\( y' = (3x^4 - 7)(10x) + (12x^3)(5x^2 + 1) \)

3.

FLASHCARD QUESTION

Front

What is the derivative of \( f(x) = x^4 \sin(x) \)?

Back

\( f'(x) = x^4 \cos(x) + 4x^3 \sin(x) \)

4.

FLASHCARD QUESTION

Front

Differentiate \( f(x) = xe^x \).

Back

\( f'(x) = e^x + xe^x \)

5.

FLASHCARD QUESTION

Front

What does it mean if \( f'(x) = 0 \)?

Back

The tangent line to the curve at that point is horizontal.

6.

FLASHCARD QUESTION

Front

Differentiate \( y = 12x^{-2} \).

Back

\( \frac{dy}{dx} = -\frac{24}{x^3} \)

7.

FLASHCARD QUESTION

Front

What is the chain rule for differentiation?

Back

If \( y = f(g(x)) \), then \( \frac{dy}{dx} = f'(g(x))g'(x) \).

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