What is the critical (x^2)/(x^2+2x-15) ?

The critical (x^2)/(x^2+2x-15) is x=0,x=15

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critical (x^2)/(x^2+2x-15)

critical points

\frac{x ^{2}}{x ^{2} + 2 x - 15}

x = 0, x = 15

Solution steps

\frac{x ^{2}}{x ^{2} + 2 x - 15}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = 15, x = - 5, x = 3

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2}}{x ^{2} + 2 x - 15} : x < - 5 or - 5 < x < 3 or x > 3

\frac{x ^{2}}{x ^{2} + 2 x - 15}

is not defined at

x = - 5, x = 3

, therefore:

x = 0, x = 15

1 - 2 x^{2}

f (x, y) = x^{2} + 3 x y + y^{2} - 15 x - 10 y + 11

f (x) = 2 x^{2} + 16 x + 27

f (x) = 2 - x - x^{3}

- x^{2} + 5 x - 6

What is the critical (x^2)/(x^2+2x-15) ?
The critical (x^2)/(x^2+2x-15) is x=0,x=15