There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ Asin(x) + Bsin(2x) + Csin(3x) + Dsin(4x) + esin(5x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( Asin(x) + Bsin(2x) + Csin(3x) + Dsin(4x) + esin(5x)\right)}{dx}\\=&Acos(x) + Bcos(2x)*2 + Ccos(3x)*3 + Dcos(4x)*4 + 0sin(5x) + ecos(5x)*5\\=&Acos(x) + 2Bcos(2x) + 3Ccos(3x) + 4Dcos(4x) + 5ecos(5x)\\ \end{split}\end{equation} \]

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