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Popular >

critical (x^2)/2+1/x

Solution

critical points

\frac{x ^{2}}{2} + \frac{1}{x}

Solution

x = 1

Solution steps

\frac{x ^{2}}{2} + \frac{1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2}}{2} + \frac{1}{x} : x < 0 or x > 0

\frac{x ^{2}}{2} + \frac{1}{x}

is not defined at

x = 0

, therefore:

x = 1

Popular Examples

critical f(x)= 3/(9-x^2)critical points

f (x) = \frac{3}{9 - x ^{2}}

inflection f(x)=x^4-50x^2+8 inflection points

f (x) = x^{4} - 50 x^{2} + 8

y = x^{2} + 2 x - 8

domain of f(x)= 2/(sqrt(x+3))domain

f (x) = \frac{2}{x + 3}

inverse of f(x)=(5x+4)/7 inverse

f (x) = \frac{5 x + 4}{7}

Frequently Asked Questions (FAQ)

What is the critical (x^2)/2+1/x ?
The critical (x^2)/2+1/x is x=1