- #1
paech
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Homework Statement
Find the derivatives at an arbitrary point [itex]x[/itex] in the domain of the following functions [itex] f_i: D_i → ℝ[/itex], where for [itex]1 ≤ i ≤ 6[/itex] the domain [itex] D_i[/itex] is the maximal subset of [itex]ℝ[/itex] on which the mapping is defined - you don't have to determine the domains.
Homework Equations
a) [itex]f_1 (a) = (1-\sin3a)^5[/itex]
There are more functions for other parts of the question, but I just need help with understanding the problem.
The Attempt at a Solution
Ok, so I'm having trouble understanding what the question is really saying. From what I gather, it's saying that the domain it's listed is the set of real numbers in which the derivative will be defined. The domain it's listing has put me off, usually I would just substitute the arbitrary point [itex]x[/itex] into the function like so:[tex]f'(x) = (1-\sin3x)^5[/tex] and then apply the chain rule to find the derivative. I'm not sure what to do to find the derivative in the interval given.
Sorry if I haven't provided much of an attempt at a solution, I've looked over all my material and couldn't come up with anything.
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