How do you use implicit differentiation to find #(dy)/(dx)# given #4x^2=2y^3+4y#?
We differentiate as usual BUT remembering to include the term
Please see the explanation.
For the x term, you can just use the power rule:
For the y terms, you use the power rule but then multiply by
NOTE: You are really using the chain rule along with the power rule.
Put the equation back together: