I just started Calculus and here is a problem I just cannot seem to get the hold of:

"Use the relation 1/(a^{2 }- x^{2}) = 1/2a [1/(a+x) + 1/(a-x)] to find the nth derivative of 1/(a^{2}-x^{2})

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- Nov 23rd 2012, 08:51 AMSupreeth17Calculus: Differentiation
I just started Calculus and here is a problem I just cannot seem to get the hold of:

"Use the relation 1/(a^{2 }- x^{2}) = 1/2a [1/(a+x) + 1/(a-x)] to find the nth derivative of 1/(a^{2}-x^{2}) - Nov 23rd 2012, 11:48 AMMarkFLRe: Calculus: Differentiation
This forum is for introductions, the calculus forum would be the place for this topic. I know you are new here, so I am just offering friendly advice. :)

I would look at the first few derivatives to see if a pattern emerges. We need only work on the factor involving .

We may now state the induction hypothesis :

Now, differentiate both sides to try to obtain . - Nov 28th 2012, 03:23 AMSupreeth17Re: Calculus: Differentiation
Thanks ;)