# How do you use implicit differentiation to find #(dy)/(dx)# given #5x^3=-3xy+2#?

##### 2 Answers

#### Explanation:

For -3xy the product rule states f g' + f' g

Say -3x is f and y is g

-3x y' + -3 y

When you differentiate, especially implicit differentiation, you follow what the rules say, and this one is saying

a

#### Explanation:

Differentiate each term with respect to

the first term on the RHS is differentiated using the product rule

rearrange for

cancel the 3 out.