Question

Sin y = 4xy + x^2. Find dy/dx

Answer 1

dy/dx=(4y+2x)/(cos y-4x)

Explanation:

Siny= 4xy +x²

dy/dx(cos y) =4y+ 4x(dy/dx)+2x

making dy/dx the subject

dy/dx(cos y)-4x(dy/dx)=4y+2x

dy/dx(cos y -4x)=4y+2x

dy/dx=(4y+2x)/(cos y -4x)