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Popular >

extreme f(x)=(x-7)e^x

Solution

extreme points

f (x) = (x - 7) e^{x}

Solution

Minimum (6, - e^{6})

Solution steps

f^{'} (x) = e^{x} (x - 6)

Find intervals:

Decreasing

: - \infty < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 6

into

(x - 7) e^{x} : - e^{6}

Minimum (6, - e^{6})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-7)e^x ?
The extreme f(x)=(x-7)e^x is Minimum(6,-e^6)