There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (997(1.466 + 0.4) + 311 + 997*1.5(0.01*147.8 - 0.01x))(1 + (0.005x + 0.15)(0.01x + 0.3))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0730801x^{2} + 2.192403x + 2.192403x + 0.01994x^{2} + 0.5982x + 0.5982x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.11051745x^{2} + 3.3155235x + 3.3155235x - 14.955x - 0.00074775x^{3} - 0.0224325x^{2} - 0.0224325x^{2} - 0.672975x + 4578.929795\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0730801x^{2} + 2.192403x + 2.192403x + 0.01994x^{2} + 0.5982x + 0.5982x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.11051745x^{2} + 3.3155235x + 3.3155235x - 14.955x - 0.00074775x^{3} - 0.0224325x^{2} - 0.0224325x^{2} - 0.672975x + 4578.929795\right)}{dx}\\=&0.0730801*2x + 2.192403 + 2.192403 + 0.01994*2x + 0.5982 + 0.5982 + 0.01555*2x + 0.4665 + 0.4665 + 0.11051745*2x + 3.3155235 + 3.3155235 - 14.955 - 0.00074775*3x^{2} - 0.0224325*2x - 0.0224325*2x - 0.672975 + 0\\=&0.1461602x + 0.03988x + 0.0311x + 0.2210349x - 0.00224325x^{2} - 0.044865x - 0.044865x - 2.482722\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!