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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ -1.9523374{x}^{2} - 16.3746022x - 0.9729457lg(x) + 15.0298795\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -1.9523374x^{2} - 16.3746022x - 0.9729457lg(x) + 15.0298795\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -1.9523374x^{2} - 16.3746022x - 0.9729457lg(x) + 15.0298795\right)}{dx}\\=&-1.9523374*2x - 16.3746022 - \frac{0.9729457}{ln{10}(x)} + 0\\=& - \frac{0.9729457}{xln{10}} - 3.9046748x - 16.3746022\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - \frac{0.9729457}{xln{10}} - 3.9046748x - 16.3746022\right)}{dx}\\=& - \frac{0.9729457*-1}{x^{2}ln{10}} - \frac{0.9729457*-0}{xln^{2}{10}} - 3.9046748 + 0\\=& - \frac{-0.9729457}{x^{2}ln{10}} - 3.9046748\\ \end{split}\end{equation} \]





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