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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (2.118 + 1.149)(1 + 0.82{(\frac{(1280 + x)}{1440})}^{3.55}) + 2\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 1.73676(0.000694444444444444x + 0.888888888888889)^{\frac{71}{20}} + 0.94218(0.000694444444444444x + 0.888888888888889)^{\frac{71}{20}} + 5.267\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 1.73676(0.000694444444444444x + 0.888888888888889)^{\frac{71}{20}} + 0.94218(0.000694444444444444x + 0.888888888888889)^{\frac{71}{20}} + 5.267\right)}{dx}\\=&1.73676(3.55(0.000694444444444444x + 0.888888888888889)^{\frac{51}{20}}(0.000694444444444444 + 0)) + 0.94218(3.55(0.000694444444444444x + 0.888888888888889)^{\frac{51}{20}}(0.000694444444444444 + 0)) + 0\\=&0.00428159583333333(0.000694444444444444x + 0.888888888888889)^{\frac{51}{20}} + 0.00232273541666667(0.000694444444444444x + 0.888888888888889)^{\frac{51}{20}}\\ \end{split}\end{equation} \]





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