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Popular >

extreme f(x)=5xe^{-x}+9

Solution

extreme points

f (x) = 5 x e^{- x} + 9

Solution

Maximum (1, \frac{5}{e} + 9)

Solution steps

f^{'} (x) = - 5 e^{- x} (x - 1)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

5 x e^{- x} + 9 : \frac{5}{e} + 9

Maximum (1, \frac{5}{e} + 9)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5xe^{-x}+9 ?
The extreme f(x)=5xe^{-x}+9 is Maximum(1, 5/e+9)