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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 3x + {8}^{x}{\frac{1}{x}}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{{8}^{x}}{x^{2}} + 3x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{{8}^{x}}{x^{2}} + 3x\right)}{dx}\\=&\frac{-2 * {8}^{x}}{x^{3}} + \frac{({8}^{x}((1)ln(8) + \frac{(x)(0)}{(8)}))}{x^{2}} + 3\\=&\frac{{8}^{x}ln(8)}{x^{2}} - \frac{2 * {8}^{x}}{x^{3}} + 3\\ \end{split}\end{equation} \]





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