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Popular >

extreme y=x^3-12x-5

Solution

extreme points

y = x^{3} - 12 x - 5

Solution

Maximum (- 2, 11), Minimum (2, - 21)

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x - 5 : 11

Maximum (- 2, 11)

Plug

x = 2

into

x^{3} - 12 x - 5 : - 21

Minimum (2, - 21)

Maximum (- 2, 11), Minimum (2, - 21)

Popular Examples

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extreme f(x)=2x^3-24x^2+72x+5 extreme points

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Frequently Asked Questions (FAQ)

What is the extreme y=x^3-12x-5 ?
The extreme y=x^3-12x-5 is Maximum(-2,11),Minimum(2,-21)