Find (dy)/(dx) given: (a) xy^3-2x^2y^2+x^4=1 (b) x^2siny-ycosx=10x^3

Let's correct the differentiation process for both equations.(a) Given: To find , we differentiate both sides of the equation with respect to using the product rule and chain rule where necessary. So, the derivative for the first equation is: (b) Given: To find , we differentiate both sides of the equation with respect to using the product rule and chain rule where necessary. So, the derivative for the second equation is: These are the correct derivatives for the given equations.