There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {e}^{5}{x}^{5}i\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ix^{5}e^{5}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ix^{5}e^{5}\right)}{dx}\\=&i*5x^{4}e^{5} + ix^{5}*5e^{4}*0\\=&5ix^{4}e^{5}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 5ix^{4}e^{5}\right)}{dx}\\=&5i*4x^{3}e^{5} + 5ix^{4}*5e^{4}*0\\=&20ix^{3}e^{5}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 20ix^{3}e^{5}\right)}{dx}\\=&20i*3x^{2}e^{5} + 20ix^{3}*5e^{4}*0\\=&60ix^{2}e^{5}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 60ix^{2}e^{5}\right)}{dx}\\=&60i*2xe^{5} + 60ix^{2}*5e^{4}*0\\=&120ixe^{5}\\ \end{split}\end{equation} \]

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