Question

Question 3: Find dy/dx :ax + by²= cos y

Class 12 - Math - Continuity and Differentiability

Answer 1

Refer to the attachment.
differentiation if implicit function

Answer 2

★ DIFFERENTIATION ★

Given function :

ax + by² = Cosy

Now differentiation accordingly ,

a + 2by dy/dx = - Sin y dy/dx

2by dy/dx + Sin y dy/dx = - a

dy/dx [ 2by + Sin y ] = - a

Hence ,

dy/ dx = - a / 2by + Siny

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★