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Popular >

extreme 540x-5x^3

Solution

extreme points

540 x - 5 x^{3}

Solution

Minimum (- 6, - 2160), Maximum (6, 2160)

Solution steps

f^{'} (x) = 540 - 15 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 6,

Decreasing

: 6 < x < \infty

Plug

x = - 6

into

540 x - 5 x^{3} : - 2160

Minimum (- 6, - 2160)

Plug

x = 6

into

540 x - 5 x^{3} : 2160

Maximum (6, 2160)

Minimum (- 6, - 2160), Maximum (6, 2160)

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Frequently Asked Questions (FAQ)

What is the extreme 540x-5x^3 ?
The extreme 540x-5x^3 is Minimum(-6,-2160),Maximum(6,2160)