Question

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

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

Answer 1

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).