What is the critical f(x)=(e^{2x})/(x+1) ?

The critical f(x)=(e^{2x})/(x+1) is x=-1/2

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critical f(x)=(e^{2x})/(x+1)

critical points

f (x) = \frac{e ^{2 x}}{x + 1}

x = - \frac{1}{2}

Solution steps

\frac{e ^{2 x}}{x + 1}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{2}, x = - 1

Identify critical points not in

f (x)

domain

Domain of

\frac{e ^{2 x}}{x + 1} : x < - 1 or x > - 1

\frac{e ^{2 x}}{x + 1}

is not defined at

x = - 1

, therefore:

x = - \frac{1}{2}

f (x) = 200 + 8 x^{3} + x^{4}

P (r, t) = (1 + \frac{r}{n})^{t}

f (x, y) = e^{(x^{2} + y^{2} + 4 x)}

2 x^{3} + 3 x^{2} + 12 x - 4

f (x) = x x^{2} + 16

What is the critical f(x)=(e^{2x})/(x+1) ?
The critical f(x)=(e^{2x})/(x+1) is x=-1/2