sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

Answer 1

cos x dx + x^2 dy + 2 x y dx = 0

x^2 dy = - (cos x +2 xy)dx

dy/dx = - (cos x + 2 x y)/x^2