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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{3{(x + 1)}^{(\frac{5}{3})}}{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{3}{5}(x + 1)^{\frac{5}{3}}\right)}{dx}\\=&\frac{3}{5}((x + 1)^{\frac{5}{3}}((0)ln(x + 1) + \frac{(\frac{5}{3})(1 + 0)}{(x + 1)}))\\=&\frac{(x + 1)^{\frac{5}{3}}}{(x + 1)}\\ \end{split}\end{equation} \]





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