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 x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(xy) + {x}^{2}ln(y)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(yx) + x^{2}ln(y)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(yx) + x^{2}ln(y)\right)}{dx}\\=&cos(yx)y + 2xln(y) + \frac{x^{2}*0}{(y)}\\=&ycos(yx) + 2xln(y)\\ \end{split}\end{equation} \]





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