There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {(cos(x))}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cos^{3}(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( cos^{3}(x)\right)}{dx}\\=&-3cos^{2}(x)sin(x)\\=&-3sin(x)cos^{2}(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -3sin(x)cos^{2}(x)\right)}{dx}\\=&-3cos(x)cos^{2}(x) - 3sin(x)*-2cos(x)sin(x)\\=&-3cos^{3}(x) + 6sin^{2}(x)cos(x)\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !