There are 1 questions in this calculation: for each question, the 2 derivative of y is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {(2x)}^{y}\ with\ respect\ to\ y：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (2x)^{y}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (2x)^{y}\right)}{dy}\\=&((2x)^{y}((1)ln(2x) + \frac{(y)(0)}{(2x)}))\\=&(2x)^{y}ln(2x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( (2x)^{y}ln(2x)\right)}{dy}\\=&((2x)^{y}((1)ln(2x) + \frac{(y)(0)}{(2x)}))ln(2x) + \frac{(2x)^{y}*0}{(2x)}\\=&(2x)^{y}ln^{2}(2x)\\ \end{split}\end{equation} \]

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