There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (997(1.25 + 0.466) + 311 + 997*1.5(100*169.9 - 0.01x))(1 + (0.005x + 0.15)(0.001x + 0.3))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.00623125x^{2} + 1.869375x + 0.1869375x + 0.00232301x^{2} + 0.696903x + 0.0696903x + 0.001555x^{2} + 0.4665x + 0.04665x + 127.042725x^{2} + 38112.8175x + 3811.28175x - 14.955x - 0.000074775x^{3} - 0.0224325x^{2} - 0.00224325x^{2} - 0.672975x + 26554042.36034\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.00623125x^{2} + 1.869375x + 0.1869375x + 0.00232301x^{2} + 0.696903x + 0.0696903x + 0.001555x^{2} + 0.4665x + 0.04665x + 127.042725x^{2} + 38112.8175x + 3811.28175x - 14.955x - 0.000074775x^{3} - 0.0224325x^{2} - 0.00224325x^{2} - 0.672975x + 26554042.36034\right)}{dx}\\=&0.00623125*2x + 1.869375 + 0.1869375 + 0.00232301*2x + 0.696903 + 0.0696903 + 0.001555*2x + 0.4665 + 0.04665 + 127.042725*2x + 38112.8175 + 3811.28175 - 14.955 - 0.000074775*3x^{2} - 0.0224325*2x - 0.00224325*2x - 0.672975 + 0\\=&0.0124625x + 0.00464602x + 0.00311x + 254.08545x - 0.000224325x^{2} - 0.044865x - 0.0044865x + 41911.8073308\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!