There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -4*3.14*0.0000001(2230(1.61sin(314x) + 0.1288sin(942x)) + \frac{1.4*2arctan(\frac{6(1.61sin(314x) + 0.1288sin(942x))}{5})*1000000}{3.14})*100*9*0.0001\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -0.000405847512sin(314x) - 0.00003246780096sin(942x) - 0.1008arctan(1.932sin(314x) + 0.15456sin(942x))\right)}{dx}\\=&-0.000405847512cos(314x)*314 - 0.00003246780096cos(942x)*942 - 0.1008(\frac{(1.932cos(314x)*314 + 0.15456cos(942x)*942)}{(1 + (1.932sin(314x) + 0.15456sin(942x))^{2})})\\=&-0.127436118768cos(314x) - 0.03058466850432cos(942x) - \frac{61.1501184cos(314x)}{(3.732624sin(314x)sin(314x) + 0.29860992sin(314x)sin(942x) + 0.29860992sin(942x)sin(314x) + 0.0238887936sin(942x)sin(942x) + 1)} - \frac{14.676028416cos(942x)}{(3.732624sin(314x)sin(314x) + 0.29860992sin(314x)sin(942x) + 0.29860992sin(942x)sin(314x) + 0.0238887936sin(942x)sin(942x) + 1)}\\ \end{split}\end{equation} \]

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