What is the critical x^8(x-3)^7 ?

The critical x^8(x-3)^7 is x=0,x= 8/5 ,x=3

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critical x^8(x-3)^7

critical points

x^{8} (x - 3)^{7}

x = 0, x = \frac{8}{5}, x = 3

Solution steps

x^{8} (x - 3)^{7}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = \frac{8}{5}, x = 3

Identify critical points not in

f (x)

domain

Domain of

x^{8} (x - 3)^{7} : - \infty < x < \infty

All critical points are in domain

x = 0, x = \frac{8}{5}, x = 3

f (x) = \frac{5 ( x + 4 )}{x ^{2} + x - 12}

f, f \geq 0

f (x) = x - 9

ln (7 - 5 x^{2})

f (x) = 3 cos (x + \frac{π}{2})