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Popular Functions >

extreme f(x)=(1-x)e^x

Solution

extreme points

f (x) = (1 - x) 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

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

Maximum (0, 1)

Graph

Popular Examples

extreme f(x)=2x^2+4x+5

extreme f(x)=9-x^2

extreme f(u,v)=(uv)/(u+v)

extreme f(x)=-x^2+9

extreme f(x)=x^3-3xy-y^3

Frequently Asked Questions (FAQ)

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