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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2sin(2x + 5) + (4x + 6)cos(2x + 5)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sin(2x + 5) + 4xcos(2x + 5) + 6cos(2x + 5)\right)}{dx}\\=&2cos(2x + 5)(2 + 0) + 4cos(2x + 5) + 4x*-sin(2x + 5)(2 + 0) + 6*-sin(2x + 5)(2 + 0)\\=&8cos(2x + 5) - 8xsin(2x + 5) - 12sin(2x + 5)\\ \end{split}\end{equation} \]





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