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

The problem is to prove the nth derivative of f(x)=1/(sqrt(1-4x))

I have worked out that the nth derivative is f^(n)(x)=(2n)!/n! * (1-4*x)^(-(n+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.

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# Nth Derivative Induction Proof

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