There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ {(4x + 2)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 1024x^{5} + 2560x^{4} + 2560x^{3} + 1280x^{2} + 320x + 32\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 1024x^{5} + 2560x^{4} + 2560x^{3} + 1280x^{2} + 320x + 32\right)}{dx}\\=&1024*5x^{4} + 2560*4x^{3} + 2560*3x^{2} + 1280*2x + 320 + 0\\=&5120x^{4} + 10240x^{3} + 7680x^{2} + 2560x + 320\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 5120x^{4} + 10240x^{3} + 7680x^{2} + 2560x + 320\right)}{dx}\\=&5120*4x^{3} + 10240*3x^{2} + 7680*2x + 2560 + 0\\=&20480x^{3} + 30720x^{2} + 15360x + 2560\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 20480x^{3} + 30720x^{2} + 15360x + 2560\right)}{dx}\\=&20480*3x^{2} + 30720*2x + 15360 + 0\\=&61440x^{2} + 61440x + 15360\\ \end{split}\end{equation} \]

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