AP Calculus AB Derivatives

AP Calculus AB Derivatives

Assessment

Flashcard

Mathematics

University

Practice Problem

Hard

Created by

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15 questions

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1.

FLASHCARD QUESTION

Front

Derive y=(Sin3x)²

Back

6Cos(3x)Sin(3x)

2.

FLASHCARD QUESTION

Front

What is the derivative of sin(x)?

Back

cos(x)

3.

FLASHCARD QUESTION

Front

The position of an object is given as a function of time by x = 3t² + 5t³ - 2t. What is the acceleration of the object at time t = 2 s?

Back

66 m/s/s

4.

FLASHCARD QUESTION

Front

Find the derivative of y = 2x²(3x - 4)

Back

18x² - 16x

5.

FLASHCARD QUESTION

Front

The velocity of an object is given as v = 2t + 3t³. What is the acceleration of the object at t = 2 s?

Back

38 m/s/s

6.

FLASHCARD QUESTION

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

7.

FLASHCARD QUESTION

Front

What is the product rule for differentiation?

Back

If u and v are functions of x, then (uv)' = u'v + uv'.

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