AP Calculus AB Problems with Solutions (Part - 13)

Problem 1 :

If the radius of a sphere is increasing at the rate of 2 inches per second, how fast, in cubic inches per second, is the volume increasing when the radius is 10 inches?

Solution :

Problem 2 :

What is the instantaneous rate of change at x = 2 of the function f(x) given above?

Solution :

Problem 3 :

Solution :

For Problems 4 and 5, the graph of the function f(x) is shown in the figure below.

Problem 4 :

Identify the x-value, where f’(x) = 0 and f’’(x) > 0.

Solution :

Problem 5 :

Identify the interval(s), where f’(x) < 0 and f’’(x) < 0.

Solution :

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