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This week we learned implicit derivatives. Implicit derivatives are just regular derivatives with more than one variable so you have another variable to look at in the derivative. After you derive with your regular derivative rules, the only difference is the step afterwards. When you derive the second variable you have to show it is in respect to that variable, so you take your derivative and multiply by dy/dx or dt/dx then you solver for your dy/dx and that is your implicit derivative.

This was a homework problem from the week*

x^2+y^2=10

2x+2y(dy/dx)=0

2y(dy/dx)=-2x

dy/dx=-2x/2y

dy/dx=-x/y

Now you have your implicit derivative. This thing needs a word count. anyways, thats all i really know.