[SOLVED] derivative

**Awsom Guy** · October 21st 2009, 01:34 AM

how do I derivative this: sqrt x

Well this is my attempt.
=x^1/2
=1/2 x^-1/2
=1/(1/2sqrtx).
I am stuck there.
Also is that right, please check.
Thanks

**Grandad** · October 21st 2009, 01:51 AM

Hello Awsom Guy

Originally Posted by Awsom Guy

how do I derivative this: sqrt x

Well this is my attempt.
=x^1/2
=1/2 x^-1/2
=1/(1/2sqrtx).
I am stuck there.
Also is that right, please check.
Thanks

You're almost right, but you got the $2$ in the wrong place on the last line:

$f(x) =x^{\frac12}$

$\Rightarrow f'(x) =\tfrac12 (x^{-\tfrac12})$

$=\frac{1}{2\sqrt{x}}$

Grandad

PS Take the trouble to learn LaTeX - it makes your working much more readable. If you want to see the LaTeX code on any of the lines above, just click the mouse on it.

**Awsom Guy** · October 21st 2009, 01:55 AM

Originally Posted by Grandad

Hello Awsom GuyYou're almost right, but you got the $2$ in the wrong place on the last line:

$f(x) =x^{\frac12}$

$\Rightarrow f'(x) =\tfrac12 (x^{-\tfrac12})$

$=\frac{1}{2\sqrt{x}}$

Grandad

PS Take the trouble to learn LaTeX - it makes your working much more readable. If you want to see the LaTeX code on any of the lines above, just click the mouse on it.

Thanks heaps.
$=\frac{1}{2\$
just practicing lol.

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