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