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Popular >

extreme (x+5)e^{-2x}

Solution

extreme points

(x + 5) e^{- 2 x}

Solution

Maximum (- \frac{9}{2}, \frac{e ^{9}}{2})

Solution steps

f^{'} (x) = - e^{- 2 x} (2 x + 9)

Find intervals:

Increasing

: - \infty < x < - \frac{9}{2},

Decreasing

: - \frac{9}{2} < x < \infty

Plug

x = - \frac{9}{2}

into

(x + 5) e^{- 2 x} : \frac{e ^{9}}{2}

Maximum (- \frac{9}{2}, \frac{e ^{9}}{2})

Popular Examples

domain of f(x)=(x-4)/(x^2-5x+4)domain

f (x) = \frac{x - 4}{x ^{2} - 5 x + 4}

range of f(x)=(x+1)^2-9 range

f (x) = (x + 1)^{2} - 9

inverse of f(x)=1-2/(sqrt(x+3))inverse

f (x) = 1 - \frac{2}{x + 3}

intercepts of 5(x+3)intercepts

5 (x + 3)

domain of x/(3x+6)domain

\frac{x}{3 x + 6}

Frequently Asked Questions (FAQ)

What is the extreme (x+5)e^{-2x} ?
The extreme (x+5)e^{-2x} is Maximum(-9/2 ,(e^9)/2)