# Implicit differentiation : the chain rule and product rule.

Use implicit differentiation to find dy/dx if

y^2 + 3xy + x^2 + 10 = 0 (1)

where y is a function of the independent variable x.

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:40 pm ad1c9bdddfhttps://brainmass.com/math/derivatives/implicit-differentiation-the-chain-rule-and-product-rule-5496

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

In order to obtain dy/dx we must differentiate both sides of equation (1) above with respect to x. For illustrative ...

#### Solution Summary

The chain rule and product rule are used to find a derivative. The solution is detailed and well presented.

$2.49