calc bc stuff Flashcards

1
Q

a=b

A

C/D

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2
Q

a<b

A

0

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3
Q

a>b

A

pos or neg infitity

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4
Q

IVT theorem requirements

A

function is continuous
value is between interval

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5
Q

IVT madlib

A

bc f(x) is continous on [1,3] and f()<f(X)<f() there must be a value such that f(X)=_ on the interval (1,3) by IVT

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6
Q

nondifferentiable

A
  1. discontinuoity
  2. cusps or sharp corners
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7
Q

product rule

A

u’v * uv’

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8
Q

quotient rule

A

(u’v - uv’)/v^2

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9
Q

d/dx sinx

A

cosx

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10
Q

d/dx cosx

A

-sinx

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11
Q

d/dx cscx

A

-cscx * cotx

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12
Q

d/dx secx

A

secx * tanx

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13
Q

d/dx cotx

A

-csc^2x

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14
Q

d/dx lnx

A

1/x

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15
Q

d/dx log(a)x

A

1/(xlna)

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16
Q

d/dx a^x

A

a^x * lna

17
Q

chain rule

A

y’(u)*u’

18
Q

deriv of tan

A

sec^2