derivative rules Flashcards

1
Q

sinx =

A

cosx

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2
Q

cosx =

A

-sinx

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3
Q

tanx =

A

(secx)^2

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4
Q

secx =

A

secx times tanx

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5
Q

cscx =

A

-cscx times cotx

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6
Q

cotx =

A

(cscx)^2

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7
Q

lnx =

A

1/x

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8
Q

e^x =

A

e^x

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9
Q

b^x =

A

lnb times b^x

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10
Q

f(x) + or - g(x) =

A

f ` (x) + or - g`(x)

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11
Q

f(x) times g(x) =

A

f ` (x) g(x) + g`(x) f(x)

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12
Q

f(x)/g(x)

A

[f ` (x) g(x) - g`(x) f(x)]/ [g(x)]^2

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