There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{sin(1)}{x} + \frac{cos(1)}{x} + \frac{tan(1)}{x} + \frac{cot(1)}{x} + \frac{csc(1)}{x} + \frac{sec(1)}{x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sin(1)}{x} + \frac{cos(1)}{x} + \frac{tan(1)}{x} + \frac{cot(1)}{x} + \frac{csc(1)}{x} + \frac{sec(1)}{x}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{sin(1)}{x} + \frac{cos(1)}{x} + \frac{tan(1)}{x} + \frac{cot(1)}{x} + \frac{csc(1)}{x} + \frac{sec(1)}{x}\right)}{dx}\\=&\frac{-sin(1)}{x^{2}} + \frac{cos(1)*0}{x} + \frac{-cos(1)}{x^{2}} + \frac{-sin(1)*0}{x} + \frac{-tan(1)}{x^{2}} + \frac{sec^{2}(1)(0)}{x} + \frac{-cot(1)}{x^{2}} + \frac{-csc^{2}(1)*0}{x} + \frac{-csc(1)}{x^{2}} + \frac{-csc(1)cot(1)*0}{x} + \frac{-sec(1)}{x^{2}} + \frac{sec(1)tan(1)*0}{x}\\=&\frac{-sin(1)}{x^{2}} - \frac{cos(1)}{x^{2}} - \frac{cot(1)}{x^{2}} - \frac{csc(1)}{x^{2}} - \frac{sec(1)}{x^{2}} - \frac{tan(1)}{x^{2}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!