There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ lg(7){(6{x}^{4} + 3)}^{5}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 7776x^{20}lg(7) + 19440x^{16}lg(7) + 19440x^{12}lg(7) + 9720x^{8}lg(7) + 2430x^{4}lg(7) + 243lg(7)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 7776x^{20}lg(7) + 19440x^{16}lg(7) + 19440x^{12}lg(7) + 9720x^{8}lg(7) + 2430x^{4}lg(7) + 243lg(7)\right)}{dx}\\=&7776*20x^{19}lg(7) + \frac{7776x^{20}*0}{ln{10}(7)} + 19440*16x^{15}lg(7) + \frac{19440x^{16}*0}{ln{10}(7)} + 19440*12x^{11}lg(7) + \frac{19440x^{12}*0}{ln{10}(7)} + 9720*8x^{7}lg(7) + \frac{9720x^{8}*0}{ln{10}(7)} + 2430*4x^{3}lg(7) + \frac{2430x^{4}*0}{ln{10}(7)} + \frac{243*0}{ln{10}(7)}\\=&155520x^{19}lg(7) + 311040x^{15}lg(7) + 233280x^{11}lg(7) + 77760x^{7}lg(7) + 9720x^{3}lg(7)\\ \end{split}\end{equation} \]

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