Hey

I have this problem on proof by induction that I'm struggling to do.

The problem is to prove the nth derivative of $\displaystyle f(x)= \frac{1}{\sqrt{1-4x}} $

I have worked out that the nth derivative is $\displaystyle f^{(n)}(x) = \frac{(2n)!}{n!} \frac{1}{(1-4x)^{n+\frac{1}{2}}} $

But I'm not sure how to go about completing this. My lecturer only covered induction briefly and my textbook doesn't cover it either... Also I have only done basic sequence proofs so any help would be much appreciated.