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





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