Find the gradient and differential of the following:

R(R1, R2) where R is given by:
1/R=1/R1+1/R2
You may do this by either solving for R or using implicit differentiation.

Question

Find the gradient and differential of the following:

R(R1, R2) where R is given by:
1/R=1/R1+1/R2
You may do this by either solving for R or using implicit differentiation.

anonymous · Answer

Uhhh, what is the real valued function?  Is it R?

anonymous · Answer

I believe so. What I wrote was all that was given for the actual question

anonymous · Answer

So then were saying $$
\nabla = [d/dR_1, d/dR_2] 
$$

anonymous · Answer

Do you know how to do implicit differentiation?

anonymous · Answer

I've done implicit differentiation in single variables but never in 2

anonymous · Answer

You treat the other variable like a constant.

anonymous · Answer

I would highly recommend multiplying both sides of the equation by R, then doing implicit differentiation.  It will make life very easy.

anonymous · Answer

ok. thanks!