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Popular >

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

Solution

critical points

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

Solution

x = - 1, x = 1

Solution steps

\frac{x ^{2} + x + 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

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

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

is not defined at

x = 0

, therefore:

x = - 1, x = 1

Popular Examples

critical f(x)=x^4+16x^3+54x^2+2 critical points

f (x) = x^{4} + 16 x^{3} + 54 x^{2} + 2

slope of x-2y=-6 slope

x - 2 y = - 6

domain of (\sqrt[6]{x})^5 domain

critical f(x)=2x^2+4x-3 critical points

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

domain of f(x)=(t+2)/(t^2+5t+6)domain

f (x) = \frac{t + 2}{t ^{2} + 5 t + 6}

Frequently Asked Questions (FAQ)

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