What is the critical (2x-x^2)e^x ?

The critical (2x-x^2)e^x is x=-sqrt(2),x=sqrt(2)

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critical (2x-x^2)e^x

critical points

(2 x - x^{2}) e^{x}

x = - 2, x = 2

Solution steps

(2 x - x^{2}) e^{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2

Identify critical points not in

f (x)

domain

Domain of

(2 x - x^{2}) e^{x} : - \infty < x < \infty

All critical points are in domain

x = - 2, x = 2

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

\frac{x ^{2} - 2 x - 3}{x}

f (x) = 3 + 8 + x

m = \frac{9}{2}

f (x) = - x^{3} + 9 x^{2} - 54

What is the critical (2x-x^2)e^x ?
The critical (2x-x^2)e^x is x=-sqrt(2),x=sqrt(2)