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Popular >

extreme f(x)=x^3-27x

Solution

extreme points

f (x) = x^{3} - 27 x

Solution

Maximum (- 3, 54), Minimum (3, - 54)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x : 54

Maximum (- 3, 54)

Plug

x = 3

into

x^{3} - 27 x : - 54

Minimum (3, - 54)

Maximum (- 3, 54), Minimum (3, - 54)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-27x ?
The extreme f(x)=x^3-27x is Maximum(-3,54),Minimum(3,-54)