Question

Find the indicated derivative using implicit differentiation.
4xy − y/4=1/x

Answer 1

start with
\[4y+4xy'-\frac{y'}{4}=-\frac{1}{x^2}\] then a bunch of algebra to solve for \(y'\)

Answer 2

what do you mean by bunch?

Answer 3

Group like terms, et al.

Answer 4

well actually not that much
subtract \(4y\)
factor out the \(y'\) on the left
and divide

Answer 5

I finally got it \[-\frac{ 1 }{x ^{2} }-4y /4x-1/4\]

Answer 6

Thanks!!