- 1 If F X Is Continuous On A B And M F X M On A B Then F A M X A F X F A M X A For All X A B 2 If F A 1 (22 KiB) Viewed 44 times
1. If f(x) is continuous on [a,b] and m≤f′(x)≤M on (a,b) then f(a)+m(x−a)≤f(x)≤f(a)+M(x−a) for all x∈[a,b]. 2. If f′′(a)
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1. If f(x) is continuous on [a,b] and m≤f′(x)≤M on (a,b) then f(a)+m(x−a)≤f(x)≤f(a)+M(x−a) for all x∈[a,b]. 2. If f′′(a)
1. If f(x) is continuous on [a,b] and m≤f′(x)≤M on (a,b) then f(a)+m(x−a)≤f(x)≤f(a)+M(x−a) for all x∈[a,b]. 2. If f′′(a)=0, then x=a is a point of inflection. 3 . If f′′(x)<0 on an interval, then f is concave upwards on the interval. 4. If f′(c)=0, then f has a local maximum or minimum at c.
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