 Hello friends welcome to the session I am Malika. I am going to help you find dy by dx in the following that is sin square x plus cos square y equal to 1. So, let us start with the solution. Our given equation is sin square x plus cos square y equal to 1. Differentiate both sides with respect to x we get dy dx of sin square x plus dy dx of cos square y equal to dy dx of 1. This implies dy dx of sin square x is 2 sin x cos x plus dy dx of cos square y is 2 cos y into minus sin y into dy by dx equal to 0 since the derivative of a constant is 0. Now, we know that 2 sin x cos x is sin 2 x and minus 2 sin y cos y is minus sin 2 y into dy by dx equal to 0. This implies minus sin 2 y dy by dx equal to minus sin 2 x minus get cancelled out. This implies dy by dx equal to sin 2 x upon sin 2 y. Therefore, dy by dx equal to sin 2 x upon sin 2 y. Hope you understood the solution and I joined the session goodbye and take care.