Find f'(-2) if f(x) = x^4/5 - 7x. f'(-2) = ? (Simplify your answer. Type an integer or a fraction.)

asked Dec 20, 2021 131k views

3 votes

Find f'(-2) if f(x) = x^4/5 - 7x.

f'(-2) = ?
(Simplify your answer. Type an integer or a fraction.)

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2 votes

Answer:

15.74

Explanation:

${x}^{ (4)/(5) } - 7x$

Substitute - 2 for x.

${ (- 2)}^{ (4)/(5) } - 7( - 2)$

$\sqrt[ 5]{ { (- 2) }^(4) } - 7( - 2)$

1.74 + 14

15.74

(I rounded to the nearest hundredth).

Tim Gradwell answered Dec 25, 2021

4.9k points

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