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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ sin(sin(sin(2)x))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(sin(xsin(2)))\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(sin(xsin(2)))\right)}{dx}\\=&cos(sin(xsin(2)))cos(xsin(2))(sin(2) + xcos(2)*0)\\=&sin(2)cos(sin(xsin(2)))cos(xsin(2))\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( sin(2)cos(sin(xsin(2)))cos(xsin(2))\right)}{dx}\\=&cos(2)*0cos(sin(xsin(2)))cos(xsin(2)) + sin(2)*-sin(sin(xsin(2)))cos(xsin(2))(sin(2) + xcos(2)*0)cos(xsin(2)) + sin(2)cos(sin(xsin(2)))*-sin(xsin(2))(sin(2) + xcos(2)*0)\\=&-sin^{2}(2)sin(sin(xsin(2)))cos^{2}(xsin(2)) - sin(xsin(2))sin^{2}(2)cos(sin(xsin(2)))\\ \end{split}\end{equation} \]





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