What is the critical (-3x^2-2x)/((1-x^2)^{1/2)} ?

The critical (-3x^2-2x)/((1-x^2)^{1/2)} is x\approx-0.35586…

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critical (-3x^2-2x)/((1-x^2)^{1/2)}

critical points

\frac{- 3 x ^{2} - 2 x}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

x \approx - 0.35586 \dots

Solution steps

\frac{- 3 x ^{2} - 2 x}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

Find where

f^{'} (x)

is equal to zero or undefined

x \approx - 0.35586 \dots, x = - 1, x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{- 3 x ^{2} - 2 x}{( 1 - x ^{2} ) ^{\frac{1}{2}}} : - 1 < x < 1

\frac{- 3 x ^{2} - 2 x}{( 1 - x ^{2} ) ^{\frac{1}{2}}}

is not defined at

x = - 1, x = 1

, therefore:

x \approx - 0.35586 \dots

What is the critical (-3x^2-2x)/((1-x^2)^{1/2)} ?
The critical (-3x^2-2x)/((1-x^2)^{1/2)} is x\approx-0.35586…