AP Calculus AB Problems with Solutions (Part - 12)

Problem 1 :

Let f(x) be a polynomial function such that

f(-2) = 5,  f’(2) = 0  and  f’’(-2) = 3

The point (-2, 5) is which of the following for the graph of f ?

A) relative maximum

B) relative minimum

C) intercept

D) inflection point

E) none of these

Solution :

Problem 2 :

Determine the open intervals where the graph of the function f(x) shown above is concave down.

Solution :

Problem 3 :

Find the x-coordinate(s) of any point of inflection on the graph of

Solution :

Problem 4 :

If f is continuous for a ≤ x ≤ b and differentiable for a < x < b, which of the following could be false?

B)  f'(c) = 0 for some c such that a < x < b.

C) f has a minimum value on a ≤ x ≤ b.

D) f has a maximum value on a ≤ x ≤ b.

Solution :

Problem 5 :

If x² + xy = 10, then when x = 2, dy/dx = ?

Solution :

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