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