# How do you use implicit differentiation to find the slope of the curve given #12(x^2+y^2)=25xy# at (3,4)?

##### 1 Answer

Jul 30, 2017

Please see the explanation.

#### Explanation:

Given:

Use the distributive property:

Differentiate each term:

The first term is just the power rule:

The second term requires the chain rule:

The last term requires the use of the product rule:

Collect all of the terms containing

Factor out

Divide both sides by the leading factor on the left:

The slope, m, of the tangent line is the above evaluated at