There are 1 questions in this calculation: for each question, the 1 derivative of a is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 0.2{(0.25{a}^{2} - 0.18a + 0.09)}^{(\frac{-1}{2})} + (\frac{-1}{2}){(0.25{a}^{2} - 0.18a + 0.09)}^{(\frac{-3}{2})}\ with\ respect\ to\ a:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{0.2}{(0.25a - 0.18a + 0.09)^{\frac{1}{2}}} - \frac{0.5}{(0.25a - 0.18a + 0.09)^{\frac{3}{2}}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{0.2}{(0.25a - 0.18a + 0.09)^{\frac{1}{2}}} - \frac{0.5}{(0.25a - 0.18a + 0.09)^{\frac{3}{2}}}\right)}{da}\\=&0.2(\frac{-0.5(0.25 - 0.18 + 0)}{(0.25a - 0.18a + 0.09)^{\frac{3}{2}}}) - 0.5(\frac{-1.5(0.25 - 0.18 + 0)}{(0.25a - 0.18a + 0.09)^{\frac{5}{2}}})\\=&\frac{-0.007}{(0.25a - 0.18a + 0.09)^{\frac{3}{2}}} + \frac{0.0525}{(0.25a - 0.18a + 0.09)^{\frac{5}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!