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Popular >

extreme 3x^3+(144)/x

Solution

extreme points

3 x^{3} + \frac{144}{x}

Solution

Maximum (- 2, - 96), Minimum (2, 96)

Solution steps

f^{'} (x) = 9 x^{2} - \frac{144}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

3 x^{3} + \frac{144}{x} : - 96

Maximum (- 2, - 96)

Plug

x = 2

into

3 x^{3} + \frac{144}{x} : 96

Minimum (2, 96)

Maximum (- 2, - 96), Minimum (2, 96)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 3x^3+(144)/x ?
The extreme 3x^3+(144)/x is Maximum(-2,-96),Minimum(2,96)