BC Cal (Unit 1-10) Review MC

• 27

• 36

• 57

• 3

• 1

• -1

• -3

• π/(π-e)

• e/(π-e)

• e/(π ln(π/e))

• divergent

The table below gives values of the twice-differentiable functions f and g and their derivatives at x = 2. If h is the function defined by h(x) = f'(x)/g(x), what is the value of h'(2)?

• (A) 9/4

• (B) 3/5

• (C) -3/2

• (D) -21/4

• -2

• 0

• 2

• nonexistent

The function f is not differentiable at x = 5. Which of the following statements must be true?

• f is not continuous at x = 5.

• lim_{x→5} f(x) does not exist.

• lim_{x→5} (f(x) − f(5))/(x − 5) does not exist.

• (A) 3 only

• (B) 0 and 3 only

• (C) 3 and 10 only

• (D) 0, 3, and 10