Derivative Formulas Flashcards

0
Q

d/dx(sin(u))

A

cos(u)*du/dx

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1
Q

d/dx(sin(x))

A

cos(x)

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2
Q

d/dx(cos(x))

A

-sin(x)

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3
Q

d/dx(cos(u))

A

-sin(u)*du/dx

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4
Q

d/dx(tan(x))

A

sec^2(x)

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5
Q

d/dx(tan(u))

A

sec^2(u)*du/dx

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6
Q

d/dx(sec(x))

A

sec(x)tan(x)

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7
Q

d/dx(sec(u))

A

sec(u)tan(u)*du/dx

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8
Q

d/dx(e^x)

A

e^x

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9
Q

d/dx(e^u)

A

e^u*du/dx

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10
Q

d/dx(x^n)

A

n*x^(n-1)

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11
Q

d/dx(u^n)

A

nu^(n-1)(du/dx)

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12
Q

d/dx(a^x)

A

a^x*LN(a)

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13
Q

d/dx(arctan x)

A

1/(1 + x^2)

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14
Q

d/dx(arcsin x)

A

1/sqrt(1 - x^2)

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15
Q

d/dx( 1/x )

A

-1/(x^2)

16
Q

d/dx( sqrt(x) )

A

1/(2*sqrt(x))

17
Q

d/dx( LN(x) )

A

1/x

18
Q

d/dx( LOGa(x) )

A

1/(x*LN(a))