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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (8{x}^{3}) + 5cos(x) - ({3}^{x})ln(3)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8x^{3} + 5cos(x) - {3}^{x}ln(3)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 8x^{3} + 5cos(x) - {3}^{x}ln(3)\right)}{dx}\\=&8*3x^{2} + 5*-sin(x) - ({3}^{x}((1)ln(3) + \frac{(x)(0)}{(3)}))ln(3) - \frac{{3}^{x}*0}{(3)}\\=&24x^{2} - 5sin(x) - {3}^{x}ln^{2}(3)\\ \end{split}\end{equation} \]





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