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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(xy + 1)}^{x}\ with\ respect\ to\ y:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( (xy + 1)^{x}\right)}{dy}\\=&((xy + 1)^{x}((0)ln(xy + 1) + \frac{(x)(x + 0)}{(xy + 1)}))\\=&\frac{x^{2}(xy + 1)^{x}}{(xy + 1)}\\ \end{split}\end{equation} \]





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