# How do you use implicit differentiation to find #(dy)/(dx)# given #4x^2=2y^3+4y#?

##### 2 Answers

Nov 27, 2016

I found:

#### Explanation:

We differentiate as usual BUT remembering to include the term

Collect

Nov 27, 2016

Please see the explanation.

#### 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:

Solve for

Remove

Done.