3x²y + 2xy = sin(y²)

help pls

2 answers

differentiate^
3x²y + 2xy = sin(y²)
I will assume we are finding dy/dx

3x^2 (dy/dx) + 6xy + 2x dy/dx + 2y = cos(y^2) (2y) dy/dx

bring all terms containing dy/dx to left side, factor out the dy/dx
and isolated dy/dx using simple algebra