What is the critical xsqrt(2x+1) ?

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

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critical xsqrt(2x+1)

critical points

x 2 x + 1

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

Solution steps

x 2 x + 1

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

x 2 x + 1 : x \geq - \frac{1}{2}

All critical points are in domain

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

y = x^{2} + 5 x + 6

4 x^{4} - 14

x^{3} e^{3 x}

x^{3} - x

f (x) = \frac{1}{2} (x - 4)^{3}