What is the critical f(x)=xsqrt(x+1) ?

The critical f(x)=xsqrt(x+1) is x=-1,x=-2/3

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critical f(x)=xsqrt(x+1)

critical points

f (x) = x x + 1

x = - 1, x = - \frac{2}{3}

Solution steps

x x + 1

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{2}{3}, x = - 1

Identify critical points not in

f (x)

domain

Domain of

x x + 1 : x \geq - 1

All critical points are in domain

x = - 1, x = - \frac{2}{3}

1 - (x - 3)^{2}

f (x) = x^{3} - 6 x^{2} + 8 x

f (x) = x^{3} - 12 x + 1

\frac{4 x + 9}{3 x - 2}

x + 2 y = 16

What is the critical f(x)=xsqrt(x+1) ?
The critical f(x)=xsqrt(x+1) is x=-1,x=-2/3