
#1
Jun1109, 10:10 PM

P: 81

1. The problem statement, all variables and given/known data
Find the average rate of change: g(x)=1/x; x = 1, x = a 2. Relevant equations (f(b)f(a))/(ba) = Average rate of change 3. The attempt at a solution I've spent far too much time on this problem, but I know I'm making a stupid error and I just can't pin it down. So far, the steps I'm pretty confident about: g(1) = 1/1 = 1 g(a) = 1/a Average rate of change = ((1/a)1)/(a1) According to the book the answer is (1/a)... but I'm just not seeing it. 



#2
Jun1109, 10:16 PM

HW Helper
P: 6,214

1/a1 = (1a)/a




#3
Jun1109, 11:46 PM

P: 81

Yea, got it now. It was just as ridiculous an oversight as I had originally thought. I kept getting to the point in the problem where I had (1a)/(a(a1)) and going, "Oh, I can't divide those binomials!" Factor out a 1 from the numerator, cancel out the resulting binomial with the denominator and there's the answer... staring me right in the face. I'm rather embarrassed that I had so much trouble with such a simple problem, and that I forgot such a basic rule. Thanks for the help.



Register to reply 
Related Discussions  
Average Rate of Change Using MVT for Derivatives  Calculus & Beyond Homework  4  
Average Rate of Change (word problem)  Precalculus Mathematics Homework  5  
Average rate of change help...please  Precalculus Mathematics Homework  2  
Average rate of change of a sphere  Precalculus Mathematics Homework  9  
Related Rate finding the Rate of Change of an Angle  Calculus & Beyond Homework  5 