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Popular >

extreme f(x)=x^3+6x^2+12x+7

Solution

extreme points

f (x) = x^{3} + 6 x^{2} + 12 x + 7

Solution

Saddle (- 2, - 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < \infty

Plug

x = - 2

into

x^{3} + 6 x^{2} + 12 x + 7 : - 1

Saddle (- 2, - 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3+6x^2+12x+7 ?
The extreme f(x)=x^3+6x^2+12x+7 is Saddle(-2,-1)