Question

What is dy/dx for 7x^3 + 4y = 3y^2 ?

Answer 1

`dy/dx=(21x^2)/(6y-4)`

Explanation:

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

`"noting that"`

`•color(white)(x)d/dx(y)=dy/dx`

`•color(white)(x)d/dx(y^2)=2ydy/dxlarrcolor(blue)"chain rule"`

`rArr21x^2+4dy/dx=6ydy/dx`

`rArrdy/dx(6y-4)=21x^2`

`rArrdy/dx=(21x^2)/(6y-4)`