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Popular >

critical f(x)=x+1/x

Solution

critical points

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

Solution

x = - 1, x = 1

Solution steps

x + \frac{1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

x + \frac{1}{x} : x < 0 or x > 0

x + \frac{1}{x}

is not defined at

x = 0

, therefore:

x = - 1, x = 1

Graph

Popular Examples

inverse of f(x)=(x^2)/(x^2+1)inverse

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

range of log_{10}(1-x^2)range

lo g_{10} (1 - x^{2})

intercepts of f(x)=0.5x^2-2x-2 intercepts

f (x) = 0.5 x^{2} - 2 x - 2

domain of f(x)=ln(sqrt(((x-9))/(x-3)))domain

f (x) = ln (\frac{( x - 9 )}{x - 3})

parity xe^x parity

x e^{x}

Frequently Asked Questions (FAQ)

What is the critical f(x)=x+1/x ?
The critical f(x)=x+1/x is x=-1,x=1