MATH 140 Study Guide - Final Guide: Differentiable Function, Mean Value Theorem, Inflection
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N be any number between f(a) and f(b), f(x) exists f(a) exists dx f(c) is greater than f(x) on the domain of f(c) is less than or equal to f(x) f(x) [a,b], then f attains an absolute maximum value at and an absolute minimum value at some numbers on. Let f be a function that satisfies the following hypothesies: f is cont on [a,b] f is differentiable on (a,b: if f11(x)>0 for all x on i, then the graph is concave up on i, if f11(x)<0 for all x on i, then the graph is, if f1(x)>0 on an interval then f is increasing on the interval, if f1(x)<0 on an interval then f is decreasing on. If f is a function defined between a and we divide the interval into n subintervals of equal width f(c) is greater than or equal to f(x) f(c) is less than f(x) on the domain of f(x)
