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Popular Functions >

extreme f(x)=e^x(x^2+1)

Solution

extreme points

f (x) = e^{x} (x^{2} + 1)

Solution

Saddle (- 1, \frac{2}{e})

Solution steps

f^{'} (x) = e^{x} (x + 1)^{2}

Find intervals:

Increasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

e^{x} (x^{2} + 1) : \frac{2}{e}

Saddle (- 1, \frac{2}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x^2+1) ?
The extreme f(x)=e^x(x^2+1) is Saddle(-1, 2/e)