AP Calculus APPs of Derivatives part 1

Question 1

ƒ(x) = 2x3 - 4x2 + 1. Mean Value Theorem states on [1, 3] 6x2-8x=

Accepted Answer

C

Question 2

Find ƒ'(3) of the following function

Accepted Answer

C

Question 3

If ƒ(x) = cos(2x), what is the line tangent to the curve at x = π/4?

Accepted Answer

D

Question 4

Given ƒ'(x) below, which open interval is the function both increasing and concave up?

Accepted Answer

C

Question 5

For what value of k will ƒ(x) have a relative maximum at x = -2?

Accepted Answer

D

Question 6

If g(x) = 4x3 + 3x2 - 6x + 1, what is the absolute minimum on the closed interval [-2, 1]?

Accepted Answer

B

Question 7

If ƒ"(x) = x(x + 2)2 then the graph of ƒ is concave up for..

Accepted Answer

C

Questions 7