There are 2 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/2]Find\ the\ first\ derivative\ of\ function\ 2 + {x}^{100}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{100} + 2\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{100} + 2\right)}{dx}\\=&100x^{99} + 0\\=&100x^{99}\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[2/2]Find\ the\ first\ derivative\ of\ function\ 3 - {x}^{81}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x^{81} + 3\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - x^{81} + 3\right)}{dx}\\=& - 81x^{80} + 0\\=& - 81x^{80}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!