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Popular >

extreme x*e^x

Solution

extreme points

x \cdot e^{x}

Solution

Minimum (- 1, - \frac{1}{e})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

x \cdot e^{x} : - \frac{1}{e}

Minimum (- 1, - \frac{1}{e})

Popular Examples

extreme f(x)=x+4/x+8,1<= x<= 8 extreme points

f (x) = x + \frac{4}{x} + 8, 1 \leq x \leq 8

extreme y=1xe^{3x^2}extreme points

y = 1 x e^{3 x^{2}}

extreme f(x)= 1/(x+7)extreme points

f (x) = \frac{1}{x + 7}

extreme f(x,y)=x^2-xy+y^2-2x+y extreme points

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

extreme f(x)=9+4x^2-x^4 extreme points

f (x) = 9 + 4 x^{2} - x^{4}

Frequently Asked Questions (FAQ)

What is the extreme x*e^x ?
The extreme x*e^x is Minimum(-1,-1/e)