AP Calculus AB Problems with Solutions (Part - 3)

Problem 1 :

Let h(x) = log (x).

Note : Here, we are referring to log base 10.

Find h"(x).

Solution :

Problem 2 :

h(x) = sec²(4x)

Which sequence of rules can be used in order to differentiate h in its current form?

A) Chain rule, then product rule

B) Product rule, then product rule again

C) Product rule, then chain rule

D) Chain rule, then chain rule again

Solution :

Problem 3 :

What is the slope of the secant line that intersects the graph of

at x = 3 and x = 7?

Solution :

Problem 4 :

What is the average rate of change of the function f(x) above over the interval 2 ≤ x ≤ 5 ?

Solution :

Problem 5 :

Which of the following is equal to g'(5) for g(x) = ln(x)?

Solution :

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