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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{5} + sqrt(x) + 1){\frac{1}{x}}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sqrt(x)}{x^{3}} + x^{2} + \frac{1}{x^{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{sqrt(x)}{x^{3}} + x^{2} + \frac{1}{x^{3}}\right)}{dx}\\=&\frac{-3sqrt(x)}{x^{4}} + \frac{\frac{1}{2}}{x^{3}(x)^{\frac{1}{2}}} + 2x + \frac{-3}{x^{4}}\\=& - \frac{3sqrt(x)}{x^{4}} + \frac{1}{2x^{\frac{7}{2}}} + 2x - \frac{3}{x^{4}}\\ \end{split}\end{equation} \]





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