(a) Find the critical numbers of the function f(x) = x⁶(x 2)⁵.

x =		(smallest value)
x =
x =		(largest value)

(b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has ---Select--- a local minimum a local maximum neither a minimum nor a maximum . (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.)

At x = , the function has ---Select--- a local minimum a local maximum neither a minimum nor a maximum .

At x = , the function has ---Select--- a local minimum a local maximum neither a minimum nor a maximum .

At x = , the function has ---Select--- a local minimum a local maximum neither a minimum nor a maximum .