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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, - e)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, - e)

Popular Examples

extreme f(x)=sin(x)+cos(x),0<x<2pi extreme points

f (x) = sin (x) + cos (x), 0 < x < 2 π

extreme f(x)=sin(x),-pi/2 <= x<= (5pi)/6 extreme points

f (x) = sin (x), - \frac{π}{2} \leq x \leq \frac{5 π}{6}

extreme f(x)=x+2y extreme points

f (x) = x + 2 y

extreme y=-x^2+4x extreme points

y = - x^{2} + 4 x

extreme f(x)=-(3x)/(x^2+8)extreme points

f (x) = - \frac{3 x}{x ^{2} + 8}

Frequently Asked Questions (FAQ)

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