There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{1}{36}){x}^{(\frac{7}{4})} + (\frac{40}{9}){x}^{(\frac{3}{4})} + (\frac{6400}{15}){x}^{(\frac{-1}{4})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{36}x^{\frac{7}{4}} + \frac{40}{9}x^{\frac{3}{4}} + \frac{\frac{1280}{3}}{x^{\frac{1}{4}}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{36}x^{\frac{7}{4}} + \frac{40}{9}x^{\frac{3}{4}} + \frac{\frac{1280}{3}}{x^{\frac{1}{4}}}\right)}{dx}\\=&\frac{1}{36}*\frac{7}{4}x^{\frac{3}{4}} + \frac{\frac{40}{9}*\frac{3}{4}}{x^{\frac{1}{4}}} + \frac{\frac{1280}{3}*\frac{-1}{4}}{x^{\frac{5}{4}}}\\=&\frac{7x^{\frac{3}{4}}}{144} + \frac{10}{3x^{\frac{1}{4}}} - \frac{320}{3x^{\frac{5}{4}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!