d/dx Flashcards

1
Q

d/dx sin(x)

A

cos(x)

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2
Q

d/dx cos(x)

A

-sin(x)

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3
Q

d/dx tan(x)

A

sec^2(x)

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4
Q

d/dx cot(x)

A

-csc^2 (x)

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5
Q

d/dx sec(x)

A

sec(x) tan(x)

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6
Q

d/dx csc(x)

A

-csc(x) cot(x)

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7
Q

d/dx inverse sin(x)

A

1 / (1 - x^2)^1/2

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8
Q

d/dx inverse cos(x)

A

-1 / (1 - x^2)^1/2

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9
Q

d/dx inverse tan(x)

A

1 / (1 + x^2)

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10
Q

d/dx inverse cot(x)

A

-1 / (1 + x^2)

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11
Q

d/dx inverse sec(x)

A

1 / (|x| * (x^2 - 1)^1/2

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12
Q

d/dx inverse csc(x)

A

-1 / |x| * (x^2 - 1)^1/2

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13
Q

d/dx x^n

A

nx^n-1

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14
Q

d/dx ln(x)

A

1/x

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15
Q

d/dx loga (u)

A

1 / u (ln a) d/dx u

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16
Q

d/dx e^x

A

e^x

17
Q

state a limit that equals 1

A

sin (x) / x as x approaches 0

18
Q

state a limit that equals 0

A

1 - cos (x) / x as x approaches 0

19
Q
A