What is the critical 11000-x^3+36x^2+700x ?

The critical 11000-x^3+36x^2+700x is x=-(2(sqrt(849)-18))/3 ,x=(2(18+sqrt(849)))/3

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critical 11000-x^3+36x^2+700x

critical points

11000 - x^{3} + 36 x^{2} + 700 x

x = - \frac{2 ( 849 - 18 )}{3}, x = \frac{2 ( 18 + 849 )}{3}

Solution steps

11000 - x^{3} + 36 x^{2} + 700 x

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{2 ( 849 - 18 )}{3}, x = \frac{2 ( 18 + 849 )}{3}

Identify critical points not in

f (x)

domain

Domain of

11000 - x^{3} + 36 x^{2} + 700 x : - \infty < x < \infty

All critical points are in domain

x = - \frac{2 ( 849 - 18 )}{3}, x = \frac{2 ( 18 + 849 )}{3}

f (x) = \frac{1}{4} x - 3 + 6

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

f (x) = x 100 - x^{2}

f (x) = 2 x - 4

(2, 1), (9, 0)

What is the critical 11000-x^3+36x^2+700x ?
The critical 11000-x^3+36x^2+700x is x=-(2(sqrt(849)-18))/3 ,x=(2(18+sqrt(849)))/3