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AP Calculus Unit 3 Review

Authored by Karl McMurtry

Mathematics

12th Grade

CCSS covered

Used 3+ times

AP Calculus Unit 3 Review
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35 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Differentiate the equation x2 + y2 = 25 implicitly with respect to x.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use the chain rule to find the derivative of f(x) = (3x2 + 2)5.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the inverse function y = f-1(x) if f(x) = x3 + 2x.

Tags

CCSS.HSF-BF.B.4A

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

Differentiate the function y = sin-1(x) with respect to x. dy/dx =

Mathematical Equivalence

ON

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Compute the second derivative of y = e2x + 3x.

6.

MATH RESPONSE QUESTION

2 mins • 1 pt

Use implicit differentiation to find dy/dx for the equation x3 + y3 = 6xy.

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

2 mins • 1 pt

Apply the chain rule to differentiate y = ln(5x2 + 3x). dy/dx =

Mathematical Equivalence

ON

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