There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -0.0009*100*4*0.0000001*3.1415(2230(1.61sin(314x)) + 1.4*1000000(\frac{2}{3.14})arctan(\frac{6*1.61sin(314x)}{5}))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -0.0004060413882sin(314x) - 0.100848152866242arctan(1.932sin(314x))\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -0.0004060413882sin(314x) - 0.100848152866242arctan(1.932sin(314x))\right)}{dx}\\=&-0.0004060413882cos(314x)*314 - 0.100848152866242(\frac{(1.932cos(314x)*314)}{(1 + (1.932sin(314x))^{2})})\\=&-0.1274969958948cos(314x) - \frac{61.17933024cos(314x)}{(3.732624sin^{2}(314x) + 1)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!