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

The critical f(x)=(10(t-4))/((t+2)^4) is t=6

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

critical points

f (x) = \frac{10 ( t - 4 )}{( t + 2 ) ^{4}}

t = 6

Solution steps

\frac{10 ( t - 4 )}{( t + 2 ) ^{4}}

Find where

f^{'} (t)

is equal to zero or undefined

t = 6, t = - 2

Identify critical points not in

f (t)

domain

Domain of

\frac{10 ( t - 4 )}{( t + 2 ) ^{4}} : t < - 2 or t > - 2

\frac{10 ( t - 4 )}{( t + 2 ) ^{4}}

is not defined at

t = - 2

, therefore:

t = 6

10 - x + 100

5 x^{3} - 15 x

2 x^{2} + 4 x - 3

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

(5) (4)

What is the critical f(x)=(10(t-4))/((t+2)^4) ?
The critical f(x)=(10(t-4))/((t+2)^4) is t=6