(adsbygoogle = window.adsbygoogle || []).push({}); Derivative help plz

Hi, can someone help me with the following question? The original question is to find Taylor's method of order 3 for the problem:

dy/dx = x/1+y

By following my notes I have worked out the answer for the first part of the question but I am having problems with the differentiation for the second derivative. Can anyone help?

Let f = x/1+y

df/dx = ( (1+y) - x dy/dx ) / (1+y)^2

substituting dy/dx by f:-

df/dx = ( (1+y) - x^2/(1+y)) / (1+y)^2

What would you get if you differentiate df/dx? I'm getting awfully confused with the many terms Do I use the quotient rule for this?

thanks for your time

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Derivative help

**Physics Forums | Science Articles, Homework Help, Discussion**