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





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