What is the critical x^3-9x^2+15x ?

The critical x^3-9x^2+15x is x=1,x=5

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critical x^3-9x^2+15x

critical points

x^{3} - 9 x^{2} + 15 x

x = 1, x = 5

Solution steps

x^{3} - 9 x^{2} + 15 x

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 5

Identify critical points not in

f (x)

domain

Domain of

x^{3} - 9 x^{2} + 15 x : - \infty < x < \infty

All critical points are in domain

x = 1, x = 5

2 - x + 1

x^{2} + 6 x + 9

(- 3.7) (0.1)

f (x) = (- x - 1) (x + 3)

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