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AP Calculus BC SUMNOCO Flashcards

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3828859083Write the notation for the limit of f(x) as x approaches c from the left.0
3828859084Write the notation for the limit of f(x) as x approaches c from the right.1
3828862853State 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
3828864250List the 3 situations in which a limit fails to exist.1. Unbounded behavior 2. Differing left/right behavior 3. Oscillation3
3828866170List the 3 situations in which a derivative fails to exist.1. Sharp turns 2. Vertical tangent lines 3. Discontinuities4
5124427751What is the limit of sin(x)/x as x approaches 0?5
5124436824What is the limit of (1-cos(x))/x as x approaches 0?6
3828867831Write the equation of a line in point-slope form.7
3828868953What is ln (1)?08
3828868954What is ln (e)?19
3828872397State 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
3828874303State the limit definition of the derivative of f(x).11
3828876061State the limit definition of the derivative of f(x) at x=c.12
5124365459What is the derivative with respect to x of u*v, where u and v are functions of x?13
5124380828What is the derivative with respect to x of u/v, where u and v are functions of x?14
5124396140What is the derivative with respect to x of x^n?15
5124407857What is the derivative with respect to x of f(u), where u is a function of x?16
5124417891What is the derivative with respect to x of sin(u), where u is a function of x?17
5124425294What is the derivative with respect to x of cos(u), where u is a function of x?18
5124451469What is the derivative with respect to x of tan(u), where u is a function of x?19
5124459048What is the derivative with respect to x of cot(u), where u is a function of x?20
5124466874What is the derivative with respect to x of sec(u), where u is a function of x?21
5124474307What is the derivative with respect to x of csc(u), where u is a function of x?22

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