What is the critical f(x)=9t^{2/3}+t^{5/3} ?

The critical f(x)=9t^{2/3}+t^{5/3} is t=-18/5 ,t=0

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critical f(x)=9t^{2/3}+t^{5/3}

critical points

f (x) = 9 t^{\frac{2}{3}} + t^{\frac{5}{3}}

t = - \frac{18}{5}, t = 0

Solution steps

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

Find where

f^{'} (t)

is equal to zero or undefined

t = - \frac{18}{5}, t = 0

Identify critical points not in

f (t)

domain

Domain of

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

All critical points are in domain

t = - \frac{18}{5}, t = 0

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

7 - x

f (x) = x - 4 + 1

(2 x + 4) (x - 3) (x + 1)

f (x) = \frac{1}{t}

What is the critical f(x)=9t^{2/3}+t^{5/3} ?
The critical f(x)=9t^{2/3}+t^{5/3} is t=-18/5 ,t=0