There are 4 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/4]Find\ the\ 4th\ derivative\ of\ function\ f(x) + (g(x))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = fx + gx\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( fx + gx\right)}{dx}\\=&f + g\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( f + g\right)}{dx}\\=&0 + 0\\=&0\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[2/4]Find\ the\ 4th\ derivative\ of\ function\ f(x) - (g(x))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = fx - gx\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( fx - gx\right)}{dx}\\=&f - g\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( f - g\right)}{dx}\\=&0 + 0\\=&0\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[3/4]Find\ the\ 4th\ derivative\ of\ function\ f(x)(g(x))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = fgx^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( fgx^{2}\right)}{dx}\\=&fg*2x\\=&2fgx\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 2fgx\right)}{dx}\\=&2fg\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2fg\right)}{dx}\\=&0\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[4/4]Find\ the\ 4th\ derivative\ of\ function\ \frac{f(x)}{(g(x))}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{f}{g}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{f}{g}\right)}{dx}\\=&0\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0\right)}{dx}\\=&0\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!