Question

implicit differentiation for: (2x-3x)^2=x^2+y^2? help...

Answer 1

Differentiate each term. Differentiate y and tag on a dy/dx as a chain rule. Solve for dy/dx

Answer 2

assuming \[(2x-3y)^2 =x^2 +y^2\]

Answer 3

differentiate both sides with respect to x

Answer 4

\[2(2x-3y) ( 2 -3\frac{dy}{dx}) =2x +2y \frac{dy}{dx}\]

Answer 5

the term on the LHS had chain rule applied to it

now just solve for dy/dx

you can do that, its just algebra