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Popular Functions >

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

Solution

extreme points

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

Solution

Minimum (- 3, - \frac{1}{e ^{3}})

Solution steps

f^{'} (x) = e^{x} (x + 3)

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Plug

x = - 3

into

e^{x} (x + 2) : - \frac{1}{e ^{3}}

Minimum (- 3, - \frac{1}{e ^{3}})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x+2) ?
The extreme f(x)=e^x(x+2) is Minimum(-3,-1/(e^3))