Question

How do you find `dy/dx` by implicit differentiation given `x^3=y^5`?

Answer 1

`dy/dx=(3x^2)/(5y^4)`

Explanation:

differentiate `color(blue)"implicitly with respect to x"`

differentiate both sides using the `color(blue)"power rule"`

`rArr3x^2=5y^4.dy/dx`

`rArrdy/dx=(3x^2)/(5y^4)`