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