Answer
a - D
b - C
c - B
d - A
Work Step by Step
Graph a is an increasing cubic so the derivative is a parabola that opens up (D)
Graph b is raised to the 5th so the derivative is a quartic (C)
Graph c is a quadratic so the derivative is a linear graph (B)
Graph d is a decreasing cubic so the derivative is a parabola that opens down (A)