There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ sin(3 + 5x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(5x + 3)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( sin(5x + 3)\right)}{dx}\\=&cos(5x + 3)(5 + 0)\\=&5cos(5x + 3)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 5cos(5x + 3)\right)}{dx}\\=&5*-sin(5x + 3)(5 + 0)\\=&-25sin(5x + 3)\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -25sin(5x + 3)\right)}{dx}\\=&-25cos(5x + 3)(5 + 0)\\=&-125cos(5x + 3)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !