Asked by Anonymous
(1 point) Consider the function 𝑓(𝑥)=7−6𝑥2 on the interval [−6,3]
(A) Find the average or mean slope of the function on this interval, i.e.
𝑓(3)−𝑓(−6)/(3−(−6))=
(B) By the Mean Value Theorem, we know there exists a 𝑐 in the open interval (−6,3) such that 𝑓′(𝑐) is equal to this mean slope. For this problem, there is only one 𝑐 that works. Find it.
𝑐=
(A) Find the average or mean slope of the function on this interval, i.e.
𝑓(3)−𝑓(−6)/(3−(−6))=
(B) By the Mean Value Theorem, we know there exists a 𝑐 in the open interval (−6,3) such that 𝑓′(𝑐) is equal to this mean slope. For this problem, there is only one 𝑐 that works. Find it.
𝑐=