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Popular >

extreme-7x^3+21x+5

Solution

extreme points

- 7 x^{3} + 21 x + 5

Solution

Minimum (- 1, - 9), Maximum (1, 19)

Solution steps

f^{'} (x) = - 21 x^{2} + 21

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

- 7 x^{3} + 21 x + 5 : - 9

Minimum (- 1, - 9)

Plug

x = 1

into

- 7 x^{3} + 21 x + 5 : 19

Maximum (1, 19)

Minimum (- 1, - 9), Maximum (1, 19)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme-7x^3+21x+5 ?
The extreme-7x^3+21x+5 is Minimum(-1,-9),Maximum(1,19)