Unformatted text preview: x 2 + 1) = 0 by ﬁrst using diﬀerentiation to prove that the lefthandside is constant, and then evaluating the constant by substituting a particular value for x . Tip #1: Be careful about the domain of a function and the domain of the derivative of a function. Note in particular that the latter must be a subset of the former. Tip #2: In your solutions, do not treat inf as a number. I may sometimes write this on the board as an informal shorthand, but in written solutions I don’t want to see things like arctan(inf) = π/ 2 or arctan(inf) =π/ 2. Please don’t forget to write down on your assignment who you worked on the assignment with (if nobody, then write “I worked alone”), and write down on your timesheet how many minutes you spent on each problem (this doesn’t need to be exact)....
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 Fall '11
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 Math, Calculus, Inverse trigonometric functions, simplest possible form

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