Unit 4: Derivatives to remember Flashcards

1
Q

d/dx sinx

A

cosx

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2
Q

d/dx cosx

A

-sinx

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3
Q

d/dx tanx

A

sec²x

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4
Q

d/dx cotx

A

-csc²x

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5
Q

d/dx secx

A

secx tanx

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6
Q

d/dx cscx

A

-cscx cotx

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7
Q

d/dx sin⁻¹u

A

1/(√1-u²) * du/dx

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8
Q

d/dx cos⁻¹u

A

-1/(√1-u²) * du/dx

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9
Q

d/dx tan⁻¹u

A

1/(1+u²) * du/dx

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10
Q

d/dx cot⁻¹u

A

-1/(1+u²) * du/dx

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11
Q

d/dx sec⁻¹u

A

1/(IuI*√(u²-1)) * du/dx

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12
Q

d/dx csc⁻¹u

A

-1/(IuI*√(u²-1)) * du/dx

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13
Q

d/dx eᵘ

A

eᵘ * du/dx

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14
Q

d/dx aᵘ

A

aᵘ * lna * du/dx

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15
Q

d/dx lnu

A

1/u * du/dx

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16
Q

d/dx logₐu

A

1/(u*lna) * du/dx

17
Q

d/dx parametric equations

A

(dy/dt)/(dx/dt)