Unformatted text preview: c of f(x)=b, then lim g(f(x))=g(b)=g(lim(f(x))). This is the epsilon/delta proof, Slope of a curve Lim h 0 of (f(x0+h)f(x0))/h h is like delta x, the distance between the two points on the line of the graph if its secant. Product Rule f(g) is f’x g+ fx g’ Derivative quotient (Hodhihidho)/hoho Darboux’s theorem If a and b are any two points in an interval on which f is differentiable, then f’ takes on every value between f’(a) and f’(b). Instantaneous rate of change is the derivative of the function. Chain Rule f(g(x)) = f’(g(x)) x g’(x)...
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 Fall '07
 Osserman
 Calculus, Continuity, Derivative, lim, Continuous function

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