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Find the derivative of \(\displaystyle f(x)=- 2 x^{5} - 12 x^{4} - 3 x^{3} + 16 x^{2} - 8 x + 13\).

Using the power rule gives \(\displaystyle f'(x)=- 10 x^{4} - 48 x^{3} - 9 x^{2} + 32 x - 8\).

\begin{question}Find the derivative of $f(x)=- 2 x^{5} - 12 x^{4} - 3 x^{3} + 16 x^{2} - 8 x + 13$. 
    \soln{9cm}{Using the power rule gives $f'(x)=- 10 x^{4} - 48 x^{3} - 9 x^{2} + 32 x - 8$. }

\end{question}

Download Question and Solution Environment\(\LaTeX\)

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\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}

Find the derivative of <img class="equation_image" title=" \displaystyle f(x)=- 2 x^{5} - 12 x^{4} - 3 x^{3} + 16 x^{2} - 8 x + 13 " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3D-%202%20x%5E%7B5%7D%20-%2012%20x%5E%7B4%7D%20-%203%20x%5E%7B3%7D%20%2B%2016%20x%5E%7B2%7D%20-%208%20x%20%2B%2013%20" alt="LaTeX: \displaystyle f(x)=- 2 x^{5} - 12 x^{4} - 3 x^{3} + 16 x^{2} - 8 x + 13 " data-equation-content=" \displaystyle f(x)=- 2 x^{5} - 12 x^{4} - 3 x^{3} + 16 x^{2} - 8 x + 13 " /> .

Using the power rule gives <img class="equation_image" title=" \displaystyle f'(x)=- 10 x^{4} - 48 x^{3} - 9 x^{2} + 32 x - 8 " src="/equation_images/%20%5Cdisplaystyle%20f%27%28x%29%3D-%2010%20x%5E%7B4%7D%20-%2048%20x%5E%7B3%7D%20-%209%20x%5E%7B2%7D%20%2B%2032%20x%20-%208%20" alt="LaTeX: \displaystyle f'(x)=- 10 x^{4} - 48 x^{3} - 9 x^{2} + 32 x - 8 " data-equation-content=" \displaystyle f'(x)=- 10 x^{4} - 48 x^{3} - 9 x^{2} + 32 x - 8 " /> .