490b31…: “As opposed to a proud disk”

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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 Chain Rule

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

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

Remember that, when using the chain rule, you want to work from the outside in. Also note that something like $(2x)^2$ (as it is written) still requires the chain rule, since there is an outer function (the square) and an inner function (the $2x$ ), meaning you can’t forget about constants inside other functions!

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!