There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(x + 4)}^{2}(x + 2)(x - 2){(x - 4)}^{3}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{7} - 4x^{6} - 36x^{5} + 144x^{4} + 384x^{3} - 1536x^{2} - 1024x + 4096\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{7} - 4x^{6} - 36x^{5} + 144x^{4} + 384x^{3} - 1536x^{2} - 1024x + 4096\right)}{dx}\\=&7x^{6} - 4*6x^{5} - 36*5x^{4} + 144*4x^{3} + 384*3x^{2} - 1536*2x - 1024 + 0\\=&7x^{6} - 24x^{5} - 180x^{4} + 576x^{3} + 1152x^{2} - 3072x - 1024\\ \end{split}\end{equation} \]

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