There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ sin(cos(tan(x)))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(cos(tan(x)))\right)}{dx}\\=&cos(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)\\=&-sin(tan(x))cos(cos(tan(x)))sec^{2}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -sin(tan(x))cos(cos(tan(x)))sec^{2}(x)\right)}{dx}\\=&-cos(tan(x))sec^{2}(x)(1)cos(cos(tan(x)))sec^{2}(x) - sin(tan(x))*-sin(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)sec^{2}(x) - sin(tan(x))cos(cos(tan(x)))*2sec^{2}(x)tan(x)\\=&-cos(tan(x))cos(cos(tan(x)))sec^{4}(x) - sin^{2}(tan(x))sin(cos(tan(x)))sec^{4}(x) - 2sin(tan(x))cos(cos(tan(x)))tan(x)sec^{2}(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -cos(tan(x))cos(cos(tan(x)))sec^{4}(x) - sin^{2}(tan(x))sin(cos(tan(x)))sec^{4}(x) - 2sin(tan(x))cos(cos(tan(x)))tan(x)sec^{2}(x)\right)}{dx}\\=&--sin(tan(x))sec^{2}(x)(1)cos(cos(tan(x)))sec^{4}(x) - cos(tan(x))*-sin(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)sec^{4}(x) - cos(tan(x))cos(cos(tan(x)))*4sec^{4}(x)tan(x) - 2sin(tan(x))cos(tan(x))sec^{2}(x)(1)sin(cos(tan(x)))sec^{4}(x) - sin^{2}(tan(x))cos(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)sec^{4}(x) - sin^{2}(tan(x))sin(cos(tan(x)))*4sec^{4}(x)tan(x) - 2cos(tan(x))sec^{2}(x)(1)cos(cos(tan(x)))tan(x)sec^{2}(x) - 2sin(tan(x))*-sin(cos(tan(x)))*-sin(tan(x))sec^{2}(x)(1)tan(x)sec^{2}(x) - 2sin(tan(x))cos(cos(tan(x)))sec^{2}(x)(1)sec^{2}(x) - 2sin(tan(x))cos(cos(tan(x)))tan(x)*2sec^{2}(x)tan(x)\\=&sin(tan(x))cos(cos(tan(x)))sec^{6}(x) - sin(cos(tan(x)))sin(tan(x))cos(tan(x))sec^{6}(x) - 6cos(tan(x))cos(cos(tan(x)))tan(x)sec^{4}(x) - 2sin(tan(x))sin(cos(tan(x)))cos(tan(x))sec^{6}(x) + sin^{3}(tan(x))cos(cos(tan(x)))sec^{6}(x) - 6sin^{2}(tan(x))sin(cos(tan(x)))tan(x)sec^{4}(x) - 2sin(tan(x))cos(cos(tan(x)))sec^{4}(x) - 4sin(tan(x))cos(cos(tan(x)))tan^{2}(x)sec^{2}(x)\\ \end{split}\end{equation} \]

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