There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -497.6cos(0.1256x) - 366.2sin(0.1256x) + 625.4\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -497.6cos(0.1256x) - 366.2sin(0.1256x) + 625.4\right)}{dx}\\=&-497.6*-sin(0.1256x)*0.1256 - 366.2cos(0.1256x)*0.1256 + 0\\=&62.49856sin(0.1256x) - 45.99472cos(0.1256x)\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！