Question

How do you implicitly differentiate `x^2/y + 4y^2 = 36-y+4x`?

Answer 1

Remember to use the chain rule when implicitly differentiating the variable y .

Explanation:

Differentiating the equation ...

`2xy^-1+x^2(-y^-2y')+8yy'=-y'+4`

Next, solve for `y'`

`y'=(4-2xy^-1)/(8y-x^2y^-2)`

hope that helped