- Consider The Function F 3 3 712 On The Interval 3 7 A Find The Average Or Mean Slope Of The Function On This 1 (31.89 KiB) Viewed 27 times
- Consider The Function F 3 3 712 On The Interval 3 7 A Find The Average Or Mean Slope Of The Function On This 2 (99.89 KiB) Viewed 27 times
Consider the function f(3) = 3 – 712 on the interval (-3, 7). (A) Find the average or mean slope of the function on this interval, i.e. |(7) - S(-3) 7- (-3) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-3,7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it CE
Consider the function f(x) = 2 - 40 + 6 on the interval [0,4). Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. =T f(I) is on [0,4] f(I) is on (0,4): f(0) = f(4) = C Then by Rolle's theorem, there exists a csuch that f'(c) = 0. Find the value c. C=