Derivative rules Flashcards

1
Q

(sin x)’

A

cos(x)

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2
Q

(tan x)’

A

sec^2(x)

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3
Q

(sec x)’

A

sec(x) tan(x)

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4
Q

(cos x)’

A

-sin(x)

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5
Q

(cot x)’

A

-csc^2(x)

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6
Q

(csc x)’

A

-csc(x) cot(x)

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7
Q

d/dx (ln(x))

A

1/x

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8
Q

d/dx loga(x)

A

1/x ln(a)

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9
Q

7^x

A

ln(7)

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10
Q

arcsin(x)’

A

1/sqrt(1-x^2)

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11
Q

arctan(x)’

A

1/(1+x^2)

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12
Q

arcsec(x)’

A

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

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13
Q

arccos(x)’

A

-1/sqrt(1-x^2)

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14
Q

arccot(x)

A

-1/1+x^2

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15
Q

arccsc(x)

A

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

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16
Q

product rule

A

uv’+u’v

17
Q

quotient rule

A

f’(x)g(x)-f(x)g’(x)/g(x)^2