What is the critical f(x)=3x(x^2+4x+5) ?

The critical f(x)=3x(x^2+4x+5) is x=-5/3 ,x=-1

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critical f(x)=3x(x^2+4x+5)

critical points

f (x) = 3 x (x^{2} + 4 x + 5)

x = - \frac{5}{3}, x = - 1

Solution steps

3 x (x^{2} + 4 x + 5)

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{5}{3}, x = - 1

Identify critical points not in

f (x)

domain

Domain of

3 x (x^{2} + 4 x + 5) : - \infty < x < \infty

All critical points are in domain

x = - \frac{5}{3}, x = - 1

(- 3, 7), (8, - 6)

\frac{( 4 x ^{2} + 1 )}{2 x ^{2} + 5 x - 3}

f (x) = x^{3} - 6 x + 20

- cos (x - \frac{π}{2})

- - x + 4

What is the critical f(x)=3x(x^2+4x+5) ?
The critical f(x)=3x(x^2+4x+5) is x=-5/3 ,x=-1