Calc

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).

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  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

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