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





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