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Popular >

extreme-x^3+27x-55

Solution

extreme points

- x^{3} + 27 x - 55

Solution

Minimum (- 3, - 109), Maximum (3, - 1)

Solution steps

f^{'} (x) = - 3 x^{2} + 27

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = - 3

into

- x^{3} + 27 x - 55 : - 109

Minimum (- 3, - 109)

Plug

x = 3

into

- x^{3} + 27 x - 55 : - 1

Maximum (3, - 1)

Minimum (- 3, - 109), Maximum (3, - 1)

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Frequently Asked Questions (FAQ)

What is the extreme-x^3+27x-55 ?
The extreme-x^3+27x-55 is Minimum(-3,-109),Maximum(3,-1)