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Popular >

extreme f(x)=e^x(x+3)

Solution

extreme points

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

Solution

Minimum (- 4, - \frac{1}{e ^{4}})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < \infty

Plug

x = - 4

into

e^{x} (x + 3) : - \frac{1}{e ^{4}}

Minimum (- 4, - \frac{1}{e ^{4}})

Popular Examples

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extreme f(x,y)=e^xy+3x^2y-y extreme points

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extreme y=2(x^2-7x+10)extreme points

y = 2 (x^{2} - 7 x + 10)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x+3) ?
The extreme f(x)=e^x(x+3) is Minimum(-4,-1/(e^4))