There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 1000(\frac{πsin(\frac{(πx)}{900})}{810000} + \frac{πsin(\frac{(πx)}{300})}{270000} + \frac{πsin(\frac{(πx)}{180})}{162000})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{810}πsin(\frac{1}{900}πx) + \frac{1}{270}πsin(\frac{1}{300}πx) + \frac{1}{162}πsin(\frac{1}{180}πx)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{810}πsin(\frac{1}{900}πx) + \frac{1}{270}πsin(\frac{1}{300}πx) + \frac{1}{162}πsin(\frac{1}{180}πx)\right)}{dx}\\=&\frac{1}{810}πcos(\frac{1}{900}πx)*\frac{1}{900}π + \frac{1}{270}πcos(\frac{1}{300}πx)*\frac{1}{300}π + \frac{1}{162}πcos(\frac{1}{180}πx)*\frac{1}{180}π\\=&\frac{π^{2}cos(\frac{1}{900}πx)}{729000} + \frac{π^{2}cos(\frac{1}{300}πx)}{81000} + \frac{π^{2}cos(\frac{1}{180}πx)}{29160}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!