Ch3 Differentiation Rules Flashcards

(20 cards)

1
Q

derivative of ln(x)

A

1/x

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2
Q

derivative of sin x

A

cos x

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3
Q

derivative of cos x

A
  • sin x
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4
Q

derivative of tan x

A

sec^2 x

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5
Q

derivative of csc x

A
  • csc x * cot x
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6
Q

derivative of sec x

A

sec x * tan x

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7
Q

derivative of cot x

A
  • csc^2 x
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8
Q

derivative of arcsin

A
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9
Q

derivative of arccos

A
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10
Q

derivative of arctan

A
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11
Q

The Power Rule

A
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12
Q

Constant Multiple Rule

A
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13
Q

Sum Rule

A
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14
Q

Difference Rule

A
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15
Q

Product Rule

A
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16
Q

Quotient Rule

17
Q

Chain Rule

18
Q

derivative of b^x

19
Q

derivative of logb(x)

20
Q

What is ln(x)?

A

ln(x) is just the inverse of e^x. ln(x) starts fast, then levels out. It is valid for all x>0.