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Popular Functions >

extreme f(x)=e^x(x+4)

Solution

extreme

Solution

Minimum (- 5, - \frac{1}{e ^{5}})

Solution steps

f^{'} (x) = e^{x} (x + 5)

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < \infty

Plug

x = - 5

into

e^{x} (x + 4) : - \frac{1}{e ^{5}}

Minimum (- 5, - \frac{1}{e ^{5}})

Graph

Popular Examples

extreme f(x)=(x-4)(x+1)(x+4)

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

extreme e^x(x+3)

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^x(x+4) ?
The extreme f(x)=e^x(x+4) is Minimum(-5,-1/(e^5))