At which point on the graph of y = f (x) shown above is f ′(x) < 0 and f ′′(x) > 0?
(A) A
(B) B
(C) C
(D) D
(E) E
Let f (x) = x^5 + 1, and let g be the inverse function of f. What is the value of g ′(0)?
(A) −1
(B)
(C) 1
(D) g ′(0) does not exist.
(E) g ′(0) cannot be determined from the given information.
The hypotenuse AB of a right triangle ABC is 5 feet, and one leg, AC, is decreasing at the rate of
2 feet per second. The rate, in square feet per second, at which the area is changing when AC = 3
is
(A)
(B)
(C)
(D)
