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Find the average rate of change of f ( x ) = 6 x 2 − 9 f(x)=6x2-9 on the interval [ 2 , b ].

Guest Sep 18, 2017
edited by Guest  Sep 18, 2017

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 #1
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The instantaneous rate of change of f(x) = 6x2 - 9 at any x is f`(x) = 12x.  This is a straight line.  Its average value between x=2 and x=b is (12b + 12*2)/2 → 6b+12

Alan  Sep 18, 2017
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1+0 Answers

 #1
avatar+26231 
+3
Best Answer

The instantaneous rate of change of f(x) = 6x2 - 9 at any x is f`(x) = 12x.  This is a straight line.  Its average value between x=2 and x=b is (12b + 12*2)/2 → 6b+12

Alan  Sep 18, 2017

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