What is the critical f(x)= 1/3 x^3-3/2 x^2-10x ?

The critical f(x)= 1/3 x^3-3/2 x^2-10x is x=-2,x=5

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critical f(x)= 1/3 x^3-3/2 x^2-10x

critical points

f (x) = \frac{1}{3} x^{3} - \frac{3}{2} x^{2} - 10 x

x = - 2, x = 5

Solution steps

\frac{1}{3} x^{3} - \frac{3}{2} x^{2} - 10 x

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 5

Identify critical points not in

f (x)

domain

Domain of

\frac{1}{3} x^{3} - \frac{3}{2} x^{2} - 10 x : - \infty < x < \infty

All critical points are in domain

x = - 2, x = 5

90 x^{2} e^{- 1.2 x}

x^{4} + 4 x

- 496 e^{- 1.5 x^{2}} + 498

f (x) = 3 x^{2} - 12 x + 5

x^{3} - 2 x^{2} - x + 1

What is the critical f(x)= 1/3 x^3-3/2 x^2-10x ?
The critical f(x)= 1/3 x^3-3/2 x^2-10x is x=-2,x=5