# How do you find #(dy)/(dx)# given #-4x^2y^3+2=5x^2+y^2#?

##### 1 Answer

Oct 4, 2016

#### Explanation:

Remember that Implicit Differentiation is really just a special case of the Chain Rule.

Every time that we differentiate the a factor or term what includes the variable y we have to include a factor of

- For the first term,
#-4x^2y^3# , we have to use the**Product Rule**and**Power Rule**. - For the constant,
#2# , we have to use the**Constant Rule**. - For the term,
#5x^2# , use the**Power Rule**. - For the term,
#y^2# , use the**Power Rule**.

Gather the terms with

Factor out

Isolate

I have a couple of tutorials on Implicit Differentiation here, https://www.youtube.com/playlist?list=PLsX0tNIJwRTxL9RSJY4wKpW1MFbQfA84w