 Hello friends, welcome to the session, I am Malkha, I am going to help you find d by by dx in the following that is xy plus y square equal to 10x plus y. So let us start with the solution and given equation is xy plus y square equal to 10x plus y. Now we will differentiate both sides with respect to x. So this gives us d by dx of xy plus d by dx of y square equal to d by dx of 10x plus d by dx of y. This is equal to now we will apply the product rule in d by dx of xy which is d by dx of fx into gx is equal to fx into d by dx of gx plus d by dx of fx into gx. Now we will apply this product rule in d by dx of fy. So this will give us x into d by by dx plus y into d of x by dx plus d by dx of y square is 2 y into d by by dx equal to d of dx of 10x is say x square x plus d by by dx. Now this can be written as x into d by by dx plus y into 1 plus 2 y into d by by dx equal to say x square x plus d by by dx. This can again be written as x into d by by dx plus 2 y into d by by dx minus d by by dx equal to say x square x minus y. Now on taking d by by dx common we get x plus 2 y minus 1 equal to say x square x minus y. Therefore d by by dx equal to say x square x minus y upon x plus 2 y minus 1. Hence d by by dx equal to say x square x minus y upon x plus 2 y minus 1 which is a required solution. Hope you understood this solution and enjoyed the session. Goodbye and take care.