Hey there, I've got a question thats been bugging me for ages...I have no idea how to start it!

Differentiate tan(arcsin (1-x^2)^1/2)

Any help will be appreciated, thanks!

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- Dec 24th 2011, 11:26 AMmaths13differentiation
Hey there, I've got a question thats been bugging me for ages...I have no idea how to start it!

Differentiate tan(arcsin (1-x^2)^1/2)

Any help will be appreciated, thanks! - Dec 24th 2011, 11:31 AMSironRe: differentiation
Do you know the chain rule?

- Dec 24th 2011, 11:37 AMmaths13Re: differentiation
yes, but I dont see how I can use that here...

- Dec 24th 2011, 11:40 AMQuackyRe: differentiation
Let , and then, if necessary, let and use the chain rule twice.

- Dec 24th 2011, 11:45 AMmaths13Re: differentiation
So I would get something like f'(x)sec^2(f(x)) with f(x) being arcsin(1-x^2)^1/2 ?

- Dec 24th 2011, 11:50 AMQuackyRe: differentiation
- Dec 24th 2011, 11:50 AMMarkFLRe: differentiation
Another approach might be to use:

Then use the chain rule from there... - Dec 24th 2011, 04:19 PMProve ItRe: differentiation