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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

(x + 1) e^{- x} : 1

Maximum (0, 1)

Popular Examples

extreme f(x)=x^4-3x^3 extreme points

f (x) = x^{4} - 3 x^{3}

extreme f(x)=(x^3)/3-2x^2+3x extreme points

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extreme f(x)=x+(64)/x extreme points

f (x) = x + \frac{64}{x}

extreme f(x)=x^3-3/2 x^2,-1<= x<= 2 extreme points

f (x) = x^{3} - \frac{3}{2} x^{2}, - 1 \leq x \leq 2

extreme f(x)=x^2+x-2 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+1)e^{-x} ?
The extreme f(x)=(x+1)e^{-x} is Maximum(0,1)