Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of y is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(xy) + xycos(xy)\ with\ respect\ to\ y:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(xy) + xycos(xy)\right)}{dy}\\=&cos(xy)x + xcos(xy) + xy*-sin(xy)x\\=&2xcos(xy) - x^{2}ysin(xy)\\ \end{split}\end{equation} \]





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