There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {th(x)}^{23456789}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = th^{23456789}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( th^{23456789}(x)\right)}{dx}\\=&23456789th^{23456788}(x)(1 - th^{2}(x))\\=&23456789th^{23456788}(x) - 23456789th^{23456790}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 23456789th^{23456788}(x) - 23456789th^{23456790}(x)\right)}{dx}\\=&23456789*23456788th^{23456787}(x)(1 - th^{2}(x)) - 23456789*23456790th^{23456789}(x)(1 - th^{2}(x))\\=&550220926733732th^{23456787}(x) - 1100441900381042th^{23456789}(x) + 550220973647310th^{23456791}(x)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 550220926733732th^{23456787}(x) - 1100441900381042th^{23456789}(x) + 550220973647310th^{23456791}(x)\right)}{dx}\\=&550220926733732*23456787th^{23456786}(x)(1 - th^{2}(x)) - 1100441900381042*23456789th^{23456788}(x)(1 - th^{2}(x)) + 550220973647310*23456791th^{23456790}(x)(1 - th^{2}(x))\\=&-6305770260928892116th^{23456786}(x) + 467265383469808762th^{23456788}(x) - 463964057768665636th^{23456790}(x) + 6302468935227748990th^{23456792}(x)\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -6305770260928892116th^{23456786}(x) + 467265383469808762th^{23456788}(x) - 463964057768665636th^{23456790}(x) + 6302468935227748990th^{23456792}(x)\right)}{dx}\\=&-6305770260928892116*23456786th^{23456785}(x)(1 - th^{2}(x)) + 467265383469808762*23456788th^{23456787}(x)(1 - th^{2}(x)) - 463964057768665636*23456790th^{23456789}(x)(1 - th^{2}(x)) + 6302468935227748990*23456792th^{23456791}(x)(1 - th^{2}(x))\\=&-7596301620547639016th^{23456785}(x) - 4630416596333918096th^{23456787}(x) + 4144233477482786656th^{23456789}(x) - 905498831380020504th^{23456791}(x) + 8987983570778790960th^{23456793}(x)\\ \end{split}\end{equation} \]

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