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