Derivatives Flashcards

1
Q

f’(k) =

A

0

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2
Q

f’(x^n) =

A

nx^(n-1)

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3
Q

f’(ln|x|) =

A

1 / x

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4
Q

f’(e^x) =

A

e^x

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5
Q

f’(sin(x)) =

A

cos(x)

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6
Q

f’(cos(x)) =

A

-sin(x)

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7
Q

f’(tan(x)) =

A

sec^2(x)

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8
Q

f’(csc(x)) =

A

-csc(x)cot(x)

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9
Q

f’(sec(x)) =

A

sec(x)tan(x)

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10
Q

f’(cot(x)) =

A

-csc^2(x)

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11
Q

f’(sin^-1(x)) =

A

1 / SQRT(1-x^2)

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12
Q

f’(tan^-1(x)) =

A

1 / (1 + x^2)

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13
Q

f’(sec^-1|x|) =

A

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

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