Let f(1)= 1/t for t>0. For what value of t is f '(t) equal to the average rate of change on f on [a,b] A) -sqrt(ab) B) sqrt(ab) C) -1/(sqrt[ab]) D) 1/(sqrt[ab]) E) sqrt [(1/2)(1/b-1/a)] Please Help
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Originally Posted by rawkstar Let f(1)= 1/t for t>0. For what value of t is f '(t) equal to the average rate of change on f on [a,b] A) -sqrt(ab) B) sqrt(ab) C) -1/(sqrt[ab]) D) 1/(sqrt[ab]) E) sqrt [(1/2)(1/b-1/a)] Please Help I'm sure you meant finish from here?
I don't know how you got from to
Skeeter was merely writing the numerator as a single fraction, to simplify further in your remaining steps, rawkstar. (1/b)-(1/a)=(a/a)(1/b)-(b/b)(1/a)=a/(ab)-b/(ab)=(a-b)/(ab)
Originally Posted by rawkstar I don't know how you got from to common denominator is ... put them together ...
ok i think I got it, anyways the answer i got was B) sqrt(ab)
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