What is the critical f(x)=6t^{2/3}+t^{5/3} ?

The critical f(x)=6t^{2/3}+t^{5/3} is t=-12/5 ,t=0

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critical f(x)=6t^{2/3}+t^{5/3}

critical points

f (x) = 6 t^{\frac{2}{3}} + t^{\frac{5}{3}}

t = - \frac{12}{5}, t = 0

Solution steps

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

Find where

f^{'} (t)

is equal to zero or undefined

t = - \frac{12}{5}, t = 0

Identify critical points not in

f (t)

domain

Domain of

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

All critical points are in domain

t = - \frac{12}{5}, t = 0

f (x) = 2 cos (π x)

\frac{7}{x - 5}

f (x) = 4 (x - 5)^{3}

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

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

What is the critical f(x)=6t^{2/3}+t^{5/3} ?
The critical f(x)=6t^{2/3}+t^{5/3} is t=-12/5 ,t=0