There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (865*1.25 + 311 + 0.012*21000 + 865*1.5(2.23 - 0.01x))(1 + (0.005x + 0.15)(0.01x + 0.3))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0540625x^{2} + 1.621875x + 1.621875x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.0126x^{2} + 0.378x + 0.378x + 0.14467125x^{2} + 4.3401375x + 4.3401375x - 12.975x - 0.00064875x^{3} - 0.0194625x^{2} - 0.0194625x^{2} - 0.583875x + 4741.870375\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0540625x^{2} + 1.621875x + 1.621875x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.0126x^{2} + 0.378x + 0.378x + 0.14467125x^{2} + 4.3401375x + 4.3401375x - 12.975x - 0.00064875x^{3} - 0.0194625x^{2} - 0.0194625x^{2} - 0.583875x + 4741.870375\right)}{dx}\\=&0.0540625*2x + 1.621875 + 1.621875 + 0.01555*2x + 0.4665 + 0.4665 + 0.0126*2x + 0.378 + 0.378 + 0.14467125*2x + 4.3401375 + 4.3401375 - 12.975 - 0.00064875*3x^{2} - 0.0194625*2x - 0.0194625*2x - 0.583875 + 0\\=&0.108125x + 0.0311x + 0.0252x + 0.2893425x - 0.00194625x^{2} - 0.038925x - 0.038925x + 0.0541499999999989\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!