What is the critical f(x)=2x^2+(500)/x ?

The critical f(x)=2x^2+(500)/x is x=5

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critical f(x)=2x^2+(500)/x

critical points

f (x) = 2 x^{2} + \frac{500}{x}

x = 5

Solution steps

2 x^{2} + \frac{500}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 5, x = 0

Identify critical points not in

f (x)

domain

Domain of

2 x^{2} + \frac{500}{x} : x < 0 or x > 0

2 x^{2} + \frac{500}{x}

is not defined at

x = 0

, therefore:

x = 5

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

y = \frac{1}{3} I n x

x^{3} + x^{2} - 5 x + 3

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

x^{4} - 4 x^{3} + 1