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Let f(x) = 4x^5 − 5x^4 + 9. (a) Find each critical number for f. (b)...

Let f(x) = 4x^5 − 5x^4 + 9.

(a) Find each critical number for f.

(b) Apply the First Derivative Test to each critical number found in part (a), being careful to explain what conclusions (if any) you can draw.

(c) Apply the Second Derivative Test to each critical number found in part (a), being careful to explain what conclusions (if any) you can draw.

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