There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(5{x}^{2} + 4cos(x))}^{11}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (5x^{2} + 4cos(x))^{11}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (5x^{2} + 4cos(x))^{11}\right)}{dx}\\=&(11(5x^{2} + 4cos(x))^{10}(5*2x + 4*-sin(x)))\\=&110(5x^{2} + 4cos(x))^{10}x - 44(5x^{2} + 4cos(x))^{10}sin(x)\\ \end{split}\end{equation} \]

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