Question

1. Consider the following.

h(x)=x 3sqrt(x-5)

Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

x =

Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

increasing:

decreasing:

2. Compare the values of dy and Δy for the function. (Round your answers to four decimal places.)

Function		x-Value		Differential of x
f(x) = x4 + 4		x = −3		Δx = dx = −0.01

dy

=

Δy=

Answer 1