There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 1.95*0.001lg(3)*100x - 0.075(-18 + 0.07*360)lg(100x) + 0.15\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.195xlg(3) + 1.35lg(100x) - 1.89lg(100x) + 0.15\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.195xlg(3) + 1.35lg(100x) - 1.89lg(100x) + 0.15\right)}{dx}\\=&0.195lg(3) + \frac{0.195x*0}{ln{10}(3)} + \frac{1.35*100}{ln{10}(100x)} - \frac{1.89*100}{ln{10}(100x)} + 0\\=&0.195lg(3) + \frac{1.35}{xln{10}} - \frac{1.89}{xln{10}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !