There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{x}{10}) + \frac{2sqrt(9 - x)}{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{10}x + \frac{2}{5}sqrt(-x + 9)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{10}x + \frac{2}{5}sqrt(-x + 9)\right)}{dx}\\=&\frac{1}{10} + \frac{\frac{2}{5}(-1 + 0)*\frac{1}{2}}{(-x + 9)^{\frac{1}{2}}}\\=&\frac{-1}{5(-x + 9)^{\frac{1}{2}}} + \frac{1}{10}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !