Derivative of y=sin(xy)
To find the derivative of this function, you'll need implicit differentiation.
derivative of y is just y'
derivative of sin(xy) requires chain rule AND product rule. It's cos(xy)*(y+xy')
After taking this derivative, you'll need to multiply the cos(xy) through the brackets (distribute) and then collect terms that contain y' on the one side of the equation. Then factor, and isolate y' with division.