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What does (1/2)x^(-1/2) equal?

coolbeans33

New member
Sep 19, 2013
23
I know that the derivative of the sqrt x = .5x^-1/2

I think that x^-1 equals 1/x right?

so what does .5x^-1/2 equal? Im kind of confused!

is it 1/4x?
 

Chris L T521

Well-known member
Staff member
Jan 26, 2012
995
Re: what does 1/2x^-1/2 equal?

I know that the derivative of the sqrt x = .5x^-1/2

I think that x^-1 equals 1/x right?

so what does .5x^-1/2 equal? Im kind of confused!

is it 1/4x?
Since there are no parenthesis, then $.5x^{-1/2} = .5\cdot x^{-1/2}= \dfrac{.5}{x^{1/2}} = \dfrac{1}{2x^{1/2}}$.

I hope this clarifies things!
 

Prove It

Well-known member
MHB Math Helper
Jan 26, 2012
1,404
Re: what does 1/2x^-1/2 equal?

Since there are no parenthesis, then $.5x^{-1/2} = .5\cdot x^{-1/2}= \dfrac{.5}{x^{1/2}} = \dfrac{1}{2x^{1/2}}$.

I hope this clarifies things!
[tex]\displaystyle = \frac{1}{2\sqrt{x}}[/tex] :)