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

The critical f(x)=5+x+5/x is x=-sqrt(5),x=sqrt(5)

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critical f(x)=5+x+5/x

critical points

f (x) = 5 + x + \frac{5}{x}

x = - 5, x = 5

Solution steps

5 + x + \frac{5}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 5, x = 5, x = 0

Identify critical points not in

f (x)

domain

Domain of

5 + x + \frac{5}{x} : x < 0 or x > 0

5 + x + \frac{5}{x}

is not defined at

x = 0

, therefore:

x = - 5, x = 5

f (x) = x^{3} + x^{2} - 20 x

f (x) = 2 x^{3} - 36 x^{2} + 120 x - 5

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

f (x, y) = x^{4} + y^{4} - 196 x y

\frac{ln ( x )}{x ^{6}}

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