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Popular >

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

Solution

critical points

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

Solution

x = - 1, x = 1

Solution steps

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

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

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

is not defined at

x = 0

, therefore:

x = - 1, x = 1

Popular Examples

critical x^4-7x^3 critical points

x^{4} - 7 x^{3}

critical f(x)=x^4+y^4 critical points

f (x) = x^{4} + y^{4}

critical f(x)=x^3+6x^2-8y+25=13 critical points

f (x) = x^{3} + 6 x^{2} - 8 y + 25 = 13

critical f(x)=e^{4x}(80x^2+5)critical points

f (x) = e^{4 x} (80 x^{2} + 5)

critical xy+5x-5 critical points

x y + 5 x - 5

Frequently Asked Questions (FAQ)

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