What is the critical f(x)=t^4-8t^3+10t^2 ?

The critical f(x)=t^4-8t^3+10t^2 is t=0,t=1,t=5

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critical f(x)=t^4-8t^3+10t^2

critical points

f (x) = t^{4} - 8 t^{3} + 10 t^{2}

t = 0, t = 1, t = 5

Solution steps

t^{4} - 8 t^{3} + 10 t^{2}

Find where

f^{'} (t)

is equal to zero or undefined

t = 0, t = 1, t = 5

Identify critical points not in

f (t)

domain

Domain of

t^{4} - 8 t^{3} + 10 t^{2} : - \infty < t < \infty

All critical points are in domain

t = 0, t = 1, t = 5

x - 5 y - 3 = 0, (8, - 7)

y = 3 x + 1

f (x) = \frac{x}{x ^{2} + 20}

f (x) = x^{4} - 18 x^{2} + 81

\frac{2}{( x - 4 ) ( - x - 6 )}

What is the critical f(x)=t^4-8t^3+10t^2 ?
The critical f(x)=t^4-8t^3+10t^2 is t=0,t=1,t=5