There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(x) + cos(ln(x) + {x}^{3})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(x) + cos(ln(x) + x^{3})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(x) + cos(ln(x) + x^{3})\right)}{dx}\\=&cos(x) + -sin(ln(x) + x^{3})(\frac{1}{(x)} + 3x^{2})\\=&cos(x) - \frac{sin(ln(x) + x^{3})}{x} - 3x^{2}sin(ln(x) + x^{3})\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !