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