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

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