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 s is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ s(s + 1)(s + \frac{7}{2})({s}^{2} + 6s + 13)\ with\ respect\ to\ s:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = s^{5} + \frac{21}{2}s^{4} + \frac{87}{2}s^{3} + \frac{159}{2}s^{2} + \frac{91}{2}s\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( s^{5} + \frac{21}{2}s^{4} + \frac{87}{2}s^{3} + \frac{159}{2}s^{2} + \frac{91}{2}s\right)}{ds}\\=&5s^{4} + \frac{21}{2}*4s^{3} + \frac{87}{2}*3s^{2} + \frac{159}{2}*2s + \frac{91}{2}\\=&5s^{4} + 42s^{3} + \frac{261s^{2}}{2} + 159s + \frac{91}{2}\\ \end{split}\end{equation} \]





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