How do you use implicit differentiation to find the slope of the curve given #12(x^2+y^2)=25xy# at (3,4)?
Please see the explanation.
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
Divide both sides by the leading factor on the left:
The slope, m, of the tangent line is the above evaluated at