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

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