Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ log*7{(6{x}^{4} + 3)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 54432logx^{20} + 136080logx^{16} + 136080logx^{12} + 68040logx^{8} + 17010logx^{4} + 1701log\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 54432logx^{20} + 136080logx^{16} + 136080logx^{12} + 68040logx^{8} + 17010logx^{4} + 1701log\right)}{dx}\\=&54432log*20x^{19} + 136080log*16x^{15} + 136080log*12x^{11} + 68040log*8x^{7} + 17010log*4x^{3} + 0\\=&1088640logx^{19} + 2177280logx^{15} + 1632960logx^{11} + 544320logx^{7} + 68040logx^{3}\\ \end{split}\end{equation} \]





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