Question

How do you differentiate implicitly `(x^2 + 1)y` with respect to x?

Answer 1

You cannot find `(dy)/(dx)` without an equation , but here is the derivative of the expression you asked about.

Use the product rule to get
`d/(dx)((x^2+1)y) = (2x)y+(x^2+1) (dy)/(dx) = 2xy + (x^2+1) (dy)/(dx)`