No idea how to find this Nth derivative || Need guidance/ans

[Queenisabella87]

How would I go about in finding the

Nth derivative of f(x) = ln (x + 1 ) at x = 0

So do is it = 1/x (1)
= x

further more is 1 the answer?

 

[Deleted member 4993]

Re: No idea how to find this Nth derivative || Need guidance

How would I go about in finding the

Nth derivative of f(x) = ln (x + 1 ) at x = 0

So do is it = 1/x (1)
= x

further more is 1 the answer?

The first derivative of ln(x+1) is:

\(\displaystyle \frac{d}{dx}ln(x+1) \ = \ \frac{1}{x+1}\)

 

[Queenisabella87]

Re: No idea how to find this Nth derivative || Need guidance

Thank you , do you know how I find the Nth derivate? is it like doing f ''(x) and f'''(x) and finding a pattern or something?

 

[Deleted member 4993]

Re: No idea how to find this Nth derivative || Need guidance

Thank you , do you know how I find the Nth derivate? is it like doing f ''(x) and f'''(x) and finding a pattern or something?

Yes - find the 2nd, 3rd, ... and you should see a pattern emerge.