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BC Calculus Flashcards

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AP Calculus FlashCards sobre BC Calculus Flashcards, criado por Kelly Realmuto em 14-04-2021.
Kelly Realmuto
FlashCards por Kelly Realmuto, atualizado more than 1 year ago
Kelly Realmuto
Criado por Kelly Realmuto mais de 3 anos atrás
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Resumo de Recurso

Questão Responda
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Positive
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Increasing
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Positive
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Increasing
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Changing from positive to negative... f'(x) can be zero or undefined
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a relative extrema. (max or min)
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a relative maximum
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a relative minimum
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Relative Minimum
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Horizontal Tangent
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Point of Inflection
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x + C
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3x + C
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Continuous and Differentiable
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Particle is changing direction v(t) is changing sign
Particle is farthest right/forward/up x(t) has an absolute maximum
Particles speed is increasing graph: v(t) is moving away from the t-axis Values: v(t) and a(t) are the same sign
Total distance traveled over [a,b]
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Displacement over [a,b]
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Average speed over [a,b]
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Average velocity over [a,b]
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Average acceleration over [a,b]
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Taylor Polynomial about x = a
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Maclaurin Polynomial
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Maclaurin Series for cos(x)
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Maclaurin Series for sin(x)
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Maclaurin Series on e^x
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Maclaurin Series for 1/(1-x)
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Approximation Error of an alternating series
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Approximation Error of a non-alternating series
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To find the interval of convergence of a power series use ratio or root test and make r<1. Then plug your endpoints into your sigma form for your power series and see if the series converges at the endpoints.
Length of a curve in Cartesian form
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Integration by parts
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Trapezoidal Riemann sum is an overapprox. when f(x) is concave up
Trapezoidal Riemann sum is an underapprox. when f(x) is concave down
Left Riemann sum is an overapprox. when f(x) is decreasing
Left Riemann sum is an underapprox. when f(x) is increasing
Right Riemann sum is an overapprox. when f(x) is increasing
Right Riemann sum is an underapprox. when f(x) is decreasing
Tangent line approx. is an overapprox. when f(x) is concave down
Tangent line approx. is an underapprox. when f(x) is concave up

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