There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {ln(-(\frac{x}{a}) - \frac{({x}^{2} - {a}^{2})}{a})}^{\frac{1}{2}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln^{\frac{1}{2}}(\frac{-x}{a} - \frac{x^{2}}{a} + a)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln^{\frac{1}{2}}(\frac{-x}{a} - \frac{x^{2}}{a} + a)\right)}{dx}\\=&\frac{\frac{1}{2}(\frac{-1}{a} - \frac{2x}{a} + 0)}{ln^{\frac{1}{2}}(\frac{-x}{a} - \frac{x^{2}}{a} + a)(\frac{-x}{a} - \frac{x^{2}}{a} + a)}\\=&\frac{-1}{2(\frac{-x}{a} - \frac{x^{2}}{a} + a)aln^{\frac{1}{2}}(\frac{-x}{a} - \frac{x^{2}}{a} + a)} - \frac{x}{(\frac{-x}{a} - \frac{x^{2}}{a} + a)aln^{\frac{1}{2}}(\frac{-x}{a} - \frac{x^{2}}{a} + a)}\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！