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})
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 .