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Popular >

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)

Popular Examples

extreme (x^2+4x-5)/(x-1)extreme points

\frac{x ^{2} + 4 x - 5}{x - 1}

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

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

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

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

extreme f(x)=(6x^2)/(x-6)extreme points

f (x) = \frac{6 x ^{2}}{x - 6}

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

f (u, v) = \frac{uv}{u + v}

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)