What is the critical f(x)=8x+7/x ?

The critical f(x)=8x+7/x is x=-(sqrt(7))/(2sqrt(2)),x=(sqrt(7))/(2sqrt(2))

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critical f(x)=8x+7/x

critical points

f (x) = 8 x + \frac{7}{x}

x = - \frac{7}{2 2}, x = \frac{7}{2 2}

Solution steps

8 x + \frac{7}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{7}{2 2}, x = \frac{7}{2 2}, x = 0

Identify critical points not in

f (x)

domain

Domain of

8 x + \frac{7}{x} : x < 0 or x > 0

8 x + \frac{7}{x}

is not defined at

x = 0

, therefore:

x = - \frac{7}{2 2}, x = \frac{7}{2 2}

f (x) = x^{2} - 64

x + 3 y = 6

f (x) = - 3 x^{2} + 34 x - 75

f (x) = \frac{x}{x + 1}

What is the critical f(x)=8x+7/x ?
The critical f(x)=8x+7/x is x=-(sqrt(7))/(2sqrt(2)),x=(sqrt(7))/(2sqrt(2))