AP®︎ Calculus AB: Topic 2.7 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.7 of AP Calculus AB – Derivatives of cos x, sin x, e^x, and ln x.


Questions List

Topic 2.7

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17

Question 1 Easy

If f(x)=2sin⁡x+3cos⁡xf(x)=2\sin x+3\cos x, which of the following is f′(x)f'(x)?

A−2cos⁡x−3sin⁡x-2\cos x-3\sin x
B2cos⁡x+3sin⁡x2\cos x+3\sin x
C2cos⁡x−3sin⁡x2\cos x-3\sin x
D−2cos⁡x+3sin⁡x-2\cos x+3\sin x

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 2.7: Derivatives of cos x, sin x, e x, and ln x

Learning Objective: FUN-3.A

Calculate derivatives of familiar functions.

Essential Knowledge: FUN-3.A.4

Specific rules can be used to find the derivatives for sine, cosine, exponential, and logarithmic functions.

Learning Objective: LIM-3.A

Interpret a limit as a definition of a derivative.

Essential Knowledge: LIM-3.A.1

In some cases, recognizing an expression for the definition of the derivative of a function whose derivative is known offers a strategy for determining a limit.