What is the critical f(x)=x(x+7)(x-5) ?

The critical f(x)=x(x+7)(x-5) is x=-(2+sqrt(109))/3 ,x=(-2+sqrt(109))/3

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critical f(x)=x(x+7)(x-5)

critical points

f (x) = x (x + 7) (x - 5)

x = - \frac{2 + 109}{3}, x = \frac{- 2 + 109}{3}

Solution steps

x (x + 7) (x - 5)

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{2 + 109}{3}, x = \frac{- 2 + 109}{3}

Identify critical points not in

f (x)

domain

Domain of

x (x + 7) (x - 5) : - \infty < x < \infty

All critical points are in domain

x = - \frac{2 + 109}{3}, x = \frac{- 2 + 109}{3}

5 x^{4} - 20 x^{3} + 9

x - 2 x

f (x, y) = 10 - 8 x + 5 y + 3 x^{2} - 7 x y + 2 y^{2}

f (x) = 3 x^{3} - 2 x

f (x) = - x^{3} - 12 x^{2}

What is the critical f(x)=x(x+7)(x-5) ?
The critical f(x)=x(x+7)(x-5) is x=-(2+sqrt(109))/3 ,x=(-2+sqrt(109))/3