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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(cos(10 + 3{x}^{2}))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(cos(3x^{2} + 10))\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( ln(cos(3x^{2} + 10))\right)}{dx}\\=&\frac{-sin(3x^{2} + 10)(3*2x + 0)}{(cos(3x^{2} + 10))}\\=&\frac{-6xsin(3x^{2} + 10)}{cos(3x^{2} + 10)}\\ \end{split}\end{equation} \]





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