There are 1 questions in this calculation: for each question, the 1 derivative of a is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 100{({a}^{2} - {b}^{2})}^{2} + {(a - 1)}^{2}\ with\ respect\ to\ a:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 100a^{4} - 200b^{2}a^{2} + 100b^{4} + a^{2} - 2a + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 100a^{4} - 200b^{2}a^{2} + 100b^{4} + a^{2} - 2a + 1\right)}{da}\\=&100*4a^{3} - 200b^{2}*2a + 0 + 2a - 2 + 0\\=&400a^{3} - 400b^{2}a + 2a - 2\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !