What is the critical f(x)=4t^{2/3}+t^{5/3} ?

The critical f(x)=4t^{2/3}+t^{5/3} is t=-8/5 ,t=0

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critical f(x)=4t^{2/3}+t^{5/3}

critical points

f (x) = 4 t^{\frac{2}{3}} + t^{\frac{5}{3}}

t = - \frac{8}{5}, t = 0

Solution steps

4 t^{\frac{2}{3}} + t^{\frac{5}{3}}

Find where

f^{'} (t)

is equal to zero or undefined

t = - \frac{8}{5}, t = 0

Identify critical points not in

f (t)

domain

Domain of

4 t^{\frac{2}{3}} + t^{\frac{5}{3}} : - \infty < t < \infty

All critical points are in domain

t = - \frac{8}{5}, t = 0

\frac{( x + 6 ) ( x + 9 )}{x ( x - 5 ) ( x + 2 )}

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

f (x) = 5

\frac{- 2}{x - 3}

1

What is the critical f(x)=4t^{2/3}+t^{5/3} ?
The critical f(x)=4t^{2/3}+t^{5/3} is t=-8/5 ,t=0