There are 3 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/3]Find\ the\ first\ derivative\ of\ function\ sin(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x)\right)}{dx}\\=&cos(x)\\=&cos(x)\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}[2/3]Find\ the\ first\ derivative\ of\ function\ 1 + sin(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x) + 1\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x) + 1\right)}{dx}\\=&cos(x) + 0\\=&cos(x)\\ \end{split}\end{equation} \]

\[ \begin{equation}\begin{split}[3/3]Find\ the\ first\ derivative\ of\ function\ 2 + sin(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x) + 2\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x) + 2\right)}{dx}\\=&cos(x) + 0\\=&cos(x)\\ \end{split}\end{equation} \]

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