(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find y' given

tan^{-1}(xy) = 1 + x^{2}y

2. Relevant equations

3. The attempt at a solution

I know I'll have to start with implicit differentiation, and I can differentiate the RHS to be:

0 + 2xy + x^{2}(dy/dx)

And I know tan^{-1}x = 1/(1+x^{2}), but I don't know how to differentiate tan^{-1}(xy) implicitly!

**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!

# Another tough differentiation question

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