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# Differentiation watch

1. What's the quickest way to find the derivative of ?

Thanks
2. (Original post by BenjaminKyle)
What's the quickest way to find the derivative of ?

Thanks
Could you clarify what needs differentiating please?
3. Use the chain rule (twice) and the quotient rule.
4. ?

1. first set u = x/(sqr(a^2+x^2)).
2. then the differentiation of arcsinu is (du/dx)/sqrt of (1-u^2)
5. (Original post by BenjaminKyle)
What's the quickest way to find the derivative of ?

Thanks
(Original post by JBrioso)
?

1. first set u = x/(sqr(a^2+x^2)).
2. then the differentiation of arcsinu is (du/dx)/sqrt of (1-u^2)
I'd let

so that

Differentiate the LHS implicitly and it's a quick job with the quotient rule on the RHS.

use

and you're done.

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Updated: March 12, 2013
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