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Popular >

extreme f(x)=(12-6x)e^x

Solution

extreme points

f (x) = (12 - 6 x) e^{x}

Solution

Maximum (1, 6 e)

Solution steps

f^{'} (x) = 6 e^{x} (- x + 1)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

(12 - 6 x) e^{x} : 6 e

Maximum (1, 6 e)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(12-6x)e^x ?
The extreme f(x)=(12-6x)e^x is Maximum(1,6e)