Question

How do you use implicit differentiation to find `(dy)/(dx)` given `2x^3=2y^2+5`?

Answer 1

Differentiate both sides f the equation with respect to `x`:

`d/dx(2x^3) = d/dx(2y^2+5)`

`6x^2 = 4ydy/dx`

`dy/dx = (3x^2)/(2y)`