Implicit differentiation(advanced)

Intro

d/dx(sinx)=cosx
d/dx(y)=1.dy/dx

Sample Problem

Solution

y=sin(3x+2y)
d/dx(y)=d/dx.sin(3x+2y) — differentiate
1.dy/dx=cos(3x+2y).(3+2.dy/dx) — chain rule
dy/dx=3.cos(3x+2y)+2dy/dx.cos(3x+2y) — simplify
(1-2cos(3x+2y))dy/dx=3cos(3x+2y)
dy/dx=3cos(3x+2y)/(1-2cos(3x+2y)