differential calculus Flashcards by Léanne Langlois

Q

d/dx sinx

A

cosx

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Q

d/dx secx

A

secxtanx

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Q

d/dx tanx

A

sec2x

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Q

d/dx cosx

A

-sinx

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Q

d/dx cscx

A

-cscxcotx

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Q

d/dx cotx

A

-csc2x

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Q

cos-x

A

cosx

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Q

sin-x

A

-sinx

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Q

cos(a+b)

A

cosacosb-sinasinb

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Q

sin(a+b)

A

sinacosb+sinbcosa

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Q

tanx

A

sinx/cosx

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Q

cscx

A

1/sinx

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Q

cotx (2)

A

cosx/sinx = 1/tanx

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Q

secx

A

1/cosx

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Q

cos2x+sin2x =

A

1

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Q

sec2x

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A

1+tan2x

Q

csc2x

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A

1+cot2x

Q

cos0

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A

1

Q

sin0

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A

0

Q

tan0

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A

0

Q

cos-1

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A

1

Q

sinx/x

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A

1

Q

1-cosx/x

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A

0

Q

tanx/x

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A

1

sin(2x)

2sinxcosx

1/2 sin(2x)

sinxcosx

cos(2x)

cos2x-sin2x

hospital rule

f(x)/g(x) = 0/0 or infinity / infinity = other derivative