There are 1 questions in this calculation: for each question, the 1 derivative of a is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2sqrt(10 - 3a) + sqrt(5 - 2sqrt(4 - {a}^{2}))\ with\ respect\ to\ a:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2sqrt(-3a + 10) + sqrt(-2sqrt(-a^{2} + 4) + 5)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sqrt(-3a + 10) + sqrt(-2sqrt(-a^{2} + 4) + 5)\right)}{da}\\=&\frac{2(-3 + 0)*\frac{1}{2}}{(-3a + 10)^{\frac{1}{2}}} + \frac{(\frac{-2(-2a + 0)*\frac{1}{2}}{(-a^{2} + 4)^{\frac{1}{2}}} + 0)*\frac{1}{2}}{(-2sqrt(-a^{2} + 4) + 5)^{\frac{1}{2}}}\\=&\frac{a}{(-a^{2} + 4)^{\frac{1}{2}}(-2sqrt(-a^{2} + 4) + 5)^{\frac{1}{2}}} - \frac{3}{(-3a + 10)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !