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AP Calculus AB SUMNOCO Flashcards

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5124491433Write the notation for the limit of f(x) as x approaches c from the left.0
5124491434Write the notation for the limit of f(x) as x approaches c from the right.1
5124491435State the 3 conditions of continuity of a function at x=c.1. f(c) is defined 2. The limit of f(x) as x approaches c exists 3. The limit of f(x) as x approaches c equals f(c)2
5124491436List the 3 situations in which a limit fails to exist.1. Unbounded behavior 2. Differing left/right behavior 3. Oscillation3
5124491437List the 3 situations in which a derivative fails to exist.1. Sharp turns 2. Vertical tangent lines 3. Discontinuities4
5124491438What is the limit of sin(x)/x as x approaches 0?5
5124491439What is the limit of (1-cos(x))/x as x approaches 0?6
5124491440Write the equation of a line in point-slope form.7
5124491441What is ln (1)?08
5124491442What is ln (e)?19
5124491443State the IVT, Intermediate Value Theorem.If f is continuous on [a, b] with k between f(a) and f(b), then there exists at least one value of c in [a, b] such that f(c)=k.10
5124491444State the limit definition of the derivative of f(x).11
5124491445State the limit definition of the derivative of f(x) at x=c.12
5124491446What is the derivative with respect to x of u*v, where u and v are functions of x?13
5124491447What is the derivative with respect to x of u/v, where u and v are functions of x?14
5124491448What is the derivative with respect to x of x^n?15
5124491449What is the derivative with respect to x of f(u), where u is a function of x?16
5124491450What is the derivative with respect to x of sin(u), where u is a function of x?17
5124491451What is the derivative with respect to x of cos(u), where u is a function of x?18
5124491452What is the derivative with respect to x of tan(u), where u is a function of x?19
5124491453What is the derivative with respect to x of cot(u), where u is a function of x?20
5124491454What is the derivative with respect to x of sec(u), where u is a function of x?21
5124491455What is the derivative with respect to x of csc(u), where u is a function of x?22

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