AP Calculus AB Problems with Solutions (Part - 24)

Problem 1 :

If f(x) = 3x³ - x + 4, then (f^-1)'(6) =

A)  1/8

B)  1/6

C)  1/3

D)  3

Solution :

Problem 2 :

The graph of the function f shown above consists of three line segments. If g is the function defined 

then g(-3) =

A)  -13/2

B)  -11/2

C)  -9/2

D)  11/2

Solution :

Problem 3 :

An equation of the line normal to the graph of y = sec x at the point (π, √2) is

A)  y - √2 = √2(x - π/4)

B)  y - √2 = -1/√2(x - π/4)

C)  y - 1/√2 = -1√2(x - π/4)

D)  y - 1/√2 = 1/√2(x - π/4)

Solution :

Problem 4 :

The first derivative f' of a function f is given by

f'(x) = ½- e^-x

On which of the following intervals is f increasing?

A)  (-∞, ln 2)

B)  (-ln 2, ln 2)

C)  (ln 2, ∞)

D)  (e, ∞)

Solution :

Problem 5 :

The graph of the function f is shown in the figure above. Which of the following statements about f is not true?

Solution :

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