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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (0.16 - 0.12x){\frac{1}{(0.1705{x}^{2} - 0.308x + 0.16)}}^{0.5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - \frac{0.12x}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}} + \frac{0.16}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - \frac{0.12x}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}} + \frac{0.16}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}}\right)}{dx}\\=& - 0.12(\frac{-0.5(0.1705 - 0.308 + 0)}{(0.1705x - 0.308x + 0.16)^{\frac{3}{2}}})x - \frac{0.12}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}} + 0.16(\frac{-0.5(0.1705 - 0.308 + 0)}{(0.1705x - 0.308x + 0.16)^{\frac{3}{2}}})\\=& - \frac{0.00825x}{(0.1705x - 0.308x + 0.16)^{\frac{3}{2}}} + \frac{0.011}{(0.1705x - 0.308x + 0.16)^{\frac{3}{2}}} - \frac{0.12}{(0.1705x - 0.308x + 0.16)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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