There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ (x + 1)(x + 2)(x + 3)(x + 4)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{4} + 10x^{3} + 35x^{2} + 50x + 24\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{4} + 10x^{3} + 35x^{2} + 50x + 24\right)}{dx}\\=&4x^{3} + 10*3x^{2} + 35*2x + 50 + 0\\=&4x^{3} + 30x^{2} + 70x + 50\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4x^{3} + 30x^{2} + 70x + 50\right)}{dx}\\=&4*3x^{2} + 30*2x + 70 + 0\\=&12x^{2} + 60x + 70\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12x^{2} + 60x + 70\right)}{dx}\\=&12*2x + 60 + 0\\=&24x + 60\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 24x + 60\right)}{dx}\\=&24 + 0\\=&24\\ \end{split}\end{equation} \]

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