0fb5cd…: “Unlike a sad hummingbird”

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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: Derivatives of Logarithms

1 : Compute the derivative of $f(x) = (\sage {p1c1})\log _{\sage {p1base}}\left (\sage {p1c2*x - p1c3}\right ) + (\sage {p1c4})$ .

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

Natural log has a nice derivative, just like $e^x$ has a nice derivative, and similarly to the exponential case, logs with different bases are close to being nice, but have a slight change due to the change of base formula.