Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (997 + 311 + 997*1.5(2.162 - 0.01x))(1 + (0.005x + 0.15)(0.01x + 0.3))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.04985x^{2} + 1.4955x + 1.4955x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.16166355x^{2} + 4.8499065x + 4.8499065x - 14.955x - 0.00074775x^{3} - 0.0224325x^{2} - 0.0224325x^{2} - 0.672975x + 4745.628195\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.04985x^{2} + 1.4955x + 1.4955x + 0.01555x^{2} + 0.4665x + 0.4665x + 0.16166355x^{2} + 4.8499065x + 4.8499065x - 14.955x - 0.00074775x^{3} - 0.0224325x^{2} - 0.0224325x^{2} - 0.672975x + 4745.628195\right)}{dx}\\=&0.04985*2x + 1.4955 + 1.4955 + 0.01555*2x + 0.4665 + 0.4665 + 0.16166355*2x + 4.8499065 + 4.8499065 - 14.955 - 0.00074775*3x^{2} - 0.0224325*2x - 0.0224325*2x - 0.672975 + 0\\=&0.0997x + 0.0311x + 0.3233271x - 0.00224325x^{2} - 0.044865x - 0.044865x - 2.004162\\ \end{split}\end{equation} \]





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