Mathematics
         
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Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 integer calculations

[1/1 Integer column vertical calculation]
    Question type: Integer multiplication
    Original question: 13482409262637335088598570936943311607067161133056*13482409262637335088598570936943311607067161133056split}【1/1】求函数{({x}^{3} + 2)}^{5}cos(4x) 关于 x 的 1 阶导数:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = x^{15}cos(4x) + 10x^{12}cos(4x) + 40x^{9}cos(4x) + 80x^{6}cos(4x) + 80x^{3}cos(4x) + 32cos(4x)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( x^{15}cos(4x) + 10x^{12}cos(4x) + 40x^{9}cos(4x) + 80x^{6}cos(4x) + 80x^{3}cos(4x) + 32cos(4x)\right)}{dx}\\=&15x^{14}cos(4x) + x^{15}*-sin(4x)*4 + 10*12x^{11}cos(4x) + 10x^{12}*-sin(4x)*4 + 40*9x^{8}cos(4x) + 40x^{9}*-sin(4x)*4 + 80*6x^{5}cos(4x) + 80x^{6}*-sin(4x)*4 + 80*3x^{2}cos(4x) + 80x^{3}*-sin(4x)*4 + 32*-sin(4x)*4\\=&15x^{14}cos(4x) - 4x^{15}sin(4x) + 120x^{11}cos(4x) - 40x^{12}sin(4x) + 360x^{8}cos(4x) - 160x^{9}sin(4x) + 480x^{5}cos(4x) - 320x^{6}sin(4x) + 240x^{2}cos(4x) - 320x^{3}sin(4x) - 128sin(4x)\\ \end{split}\end{equation} \]




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