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c1-fxm - NAME MAC2311/Final Exam Student Number Page 1 of 8...

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NAME: MAC2311/Final Exam Page 1 of 8 Student Number: Exam Number: Read Me First: Show all essential work very neatly. Use correct notation when presenting your computations and arguments. Write using complete sentences. Be careful. Remember this: "=" denotes "equals" , " " denotes "implies" , and " " denotes "is equivalent to". Do not "box" your answers. Communicate. Show me all the magic on the page. 1. (30 pts.) Very basic derivatives . ... Provide the first derivative for each of the following functions. (a) f(x) = x 23 f (x) = (b) f(x) = 23 x f (x) = (c) f(x) = ln(x) f (x) = (d) f(x) = e x f (x) = (e) f(x) = sin(x) f (x) = (f) f(x) = cos(x) f (x) = (g) f(x) = tan(x) f (x) = (h) f(x) = sec(x) f (x) = (i) f(x) = csc(x) f (x) = (j) f(x) = cot(x) f (x) = (k) f(x) = sin -1 (x) f (x) = (l) f(x) = tan -1 (x) f (x) = (m) f(x) = sec -1 (x) f (x) = (n) f(x) = cos -1 (0) f (x) = (o) f(x) = log 23 (x) f (x) =
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MAC2311/Final Exam Page 2 of 8 2. (30 pts.) Very basic antiderivatives . ... Give each of the following antiderivatives. Do not forget the arbitrary constant. (a)
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c1-fxm - NAME MAC2311/Final Exam Student Number Page 1 of 8...

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