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