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Popular >

extreme 2xe^x

Solution

extreme points

2 x e^{x}

Solution

Minimum (- 1, - \frac{2}{e})

Solution steps

f^{'} (x) = 2 (e^{x} + e^{x} x)

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

2 x e^{x} : - \frac{2}{e}

Minimum (- 1, - \frac{2}{e})

Popular Examples

asymptotes of (x^2+3x-10)/(x^2-25)asymptotes

\frac{x ^{2} + 3 x - 10}{x ^{2} - 25}

intercepts of (x-4)/(x^2-4x)intercepts

\frac{x - 4}{x ^{2} - 4 x}

range of f(x)= x/(1+|x|)range

f (x) = \frac{x}{1 + ∣ x ∣}

inverse of 1/(x^2-2)inverse

\frac{1}{x ^{2} - 2}

parity ((x+3))/(2x^4+5x^3-x-9)parity

\frac{( x + 3 )}{2 x ^{4} + 5 x ^{3} - x - 9}

Frequently Asked Questions (FAQ)

What is the extreme 2xe^x ?
The extreme 2xe^x is Minimum(-1,-2/e)