What is the critical f(x)=xsqrt(4-x),x<3 ?

The critical f(x)=xsqrt(4-x),x<3 is x= 8/3

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critical f(x)=xsqrt(4-x),x<3

critical points

f (x) = x 4 - x, x < 3

x = \frac{8}{3}

Solution steps

x 4 - x, x < 3

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{8}{3}

Identify critical points not in

f (x)

domain

Domain of

x 4 - x, x < 3 : x < 3

All critical points are in domain

x = \frac{8}{3}

f (x) = 2 (x + 1)^{2} - 3

\frac{x + 5}{x ^{2} - 1}

(- 3, - 5), (1, 1)

f (x) = x^{2} + 5

lo g_{\frac{1}{2}} (x^{5})

What is the critical f(x)=xsqrt(4-x),x<3 ?
The critical f(x)=xsqrt(4-x),x<3 is x= 8/3