Derivative Formulas Flashcards

1
Q

Dx(u^n)

A

= n u^n-1 Dx(u)

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2
Q

Dx(logau)

A

= 1/u ln(a) Dx(u)

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3
Q

Dx(ln u)

A

= 1/u Dx(u)

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4
Q

Dx(a^u)

A

= a^u ln(a) Dx(u)

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5
Q

Dx(e^u)

A

= e^u Dx(u)

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6
Q

Dx(sin u)

A

= cosu Dx(u)

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7
Q

Dx(cos u)

A

= -sinu Dx(u)

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8
Q

Dx(tan u)

A

= sec^2 u Dx(u)

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9
Q

Dx(cot u)

A

= -csc^2 u Dx(u)

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10
Q

Dx(sec u)

A

= sec u tan u Dx(u)

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11
Q

Dx(csc u)

A

= -csc u cot u Dx(u)

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12
Q

Dx(arcsin u)

A

= 1/(√1-u^2) Dx(u)

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13
Q

Dx(arctan u)

A

= 1/(1+u^2) Dx(u)

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14
Q

Dx(arcsec u)

A

= 1/(u√u^2-1) Dx(u)

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