There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt({x}^{2} + {y}^{2}) + sqrt({x}^{2} - 4x + 4 + {y}^{2}) + sqrt({x}^{2} + {y}^{2} - 4y + 4)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sqrt(x^{2} + y^{2}) + sqrt(x^{2} - 4x + y^{2} + 4) + sqrt(x^{2} + y^{2} - 4y + 4)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sqrt(x^{2} + y^{2}) + sqrt(x^{2} - 4x + y^{2} + 4) + sqrt(x^{2} + y^{2} - 4y + 4)\right)}{dx}\\=&\frac{(2x + 0)*\frac{1}{2}}{(x^{2} + y^{2})^{\frac{1}{2}}} + \frac{(2x - 4 + 0 + 0)*\frac{1}{2}}{(x^{2} - 4x + y^{2} + 4)^{\frac{1}{2}}} + \frac{(2x + 0 + 0 + 0)*\frac{1}{2}}{(x^{2} + y^{2} - 4y + 4)^{\frac{1}{2}}}\\=&\frac{x}{(x^{2} + y^{2})^{\frac{1}{2}}} + \frac{x}{(x^{2} - 4x + y^{2} + 4)^{\frac{1}{2}}} + \frac{x}{(x^{2} + y^{2} - 4y + 4)^{\frac{1}{2}}} - \frac{2}{(x^{2} - 4x + y^{2} + 4)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!