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Popular >

extreme 1/3 x^3+2x^2+4x+1

Solution

extreme points

\frac{1}{3} x^{3} + 2 x^{2} + 4 x + 1

Solution

Saddle (- 2, - \frac{5}{3})

Solution steps

f^{'} (x) = x^{2} + 4 x + 4

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < \infty

Plug

x = - 2

into

\frac{1}{3} x^{3} + 2 x^{2} + 4 x + 1 : - \frac{5}{3}

Saddle (- 2, - \frac{5}{3})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1/3 x^3+2x^2+4x+1 ?
The extreme 1/3 x^3+2x^2+4x+1 is Saddle(-2,-5/3)