Question

Derivative of the following cos(x^{2} y)=y^{2}

Answer 1

`\cos( {x}^(2)y ) = {y}^(2) \\ \frac{d( \cos( {x}^(2)y) ) }{dx} = \frac{d( {y}^(2)) }{dx} \\ (2xy + {x}^(2) (dy)/(dx) ).( - \sin( {x}^(2) y) ) = 2y (dy)/(dx) \\ \frac{- 2xy \sin( {x}^(2)y ) - {x}^(2) \sin( {x}^(2) y) }{2y} = (dy)/(dx) \\`