There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (sqrt(x) + 3sqrt(x) + 2sqrt(x) - 1){\frac{1}{(x + 4)}}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{6sqrt(x)}{(x + 4)^{4}} - \frac{1}{(x + 4)^{4}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{6sqrt(x)}{(x + 4)^{4}} - \frac{1}{(x + 4)^{4}}\right)}{dx}\\=&6(\frac{-4(1 + 0)}{(x + 4)^{5}})sqrt(x) + \frac{6*\frac{1}{2}}{(x + 4)^{4}(x)^{\frac{1}{2}}} - (\frac{-4(1 + 0)}{(x + 4)^{5}})\\=&\frac{-24sqrt(x)}{(x + 4)^{5}} + \frac{3}{(x + 4)^{4}x^{\frac{1}{2}}} + \frac{4}{(x + 4)^{5}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !