Question

Implicit Derivative. Retyping work using equation editor

Answer 1

Find the derivative of \[(5x-y)^4+3y^3=4072\]

Using the various rules I have the following solution, but I seem to get in the numerator.

\[20y'(5x-3y)^3+9y^2y' = 0\]

Answer 2

\[y'(20(5x-3y)^3+9y^2) = 0\]

Answer 3

\[y' = \frac{ 0 }{ (20(5x-3y)^3+9y^3) }\]

Answer 4

Anyone know where I may have went off track?

Answer 5

Disregard, I messed up my application of the chain rule.