# Nth derivative of a function

## Homework Statement

Find the nth derivative of the function f(x)= x^n/(1-x)

## The Attempt at a Solution

I got nx^n-1*(1-x)-x^n(-1) all over (1-x)^2

Is this correct and if so is their any steps afterwards?

## Answers and Replies

Stephen Tashi
Science Advisor
Find the nth derivative of the function f(x)= x^n/(1-x)

You only found the first derivative. Did you state the problem correctly?

Yes its stated properly. I realized I must have misunderstood it and did not approach that the right way

Stephen Tashi
Science Advisor
Are you only supposed to discover the formula or must you prove the formula that you discover by using induction?

It just says find the nth derivative so I assume just find the formula.

gb7nash
Homework Helper
For this type of problem, just take a few derivatives and find the pattern. You'll be able to see what it is after taking 3 or 4 of them.

Stephen Tashi
Science Advisor
Perhaps, you can utilize

$$\frac{1}{1- x} = 1 + x + x^2 + x^3 + x^4 + ....$$