b73571…: “Near a quiet building”

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Worked Out Examples Problem Videos

The following video may be helpful when trying to solve this example. Note that you may skip to the end of the video to get completion credit for this page if you don’t need to watch it.

Practice Problems: Applying the Product Rule

1 : Compute the derivative of $f(x) = \sage {p1f3}$ .

$f'(x) = \answer {\sage {p1ans}}$

Remember that you can use the product rule $\left ( \frac {d}{dx}\left [(fg)(x)\right ] = f(x)g'(x) + f'(x)g(x) \right )$ along with the polynomial rules to do this without having to expand everything out... a dramatic time saver!

Also, Xronos will take the answer without expanding out and recombining like terms. Remember, you only need to do that kind of extra work if there is a reason to!