Formulas Flashcards

1
Q

d/dx cos(x)

A

-sin(x)

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2
Q

d/dx tan(x)

A

sec^2(x)

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3
Q

d/dx csc(x)

A

-csc(x)cot(x)

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4
Q

d/dx sec(x)

A

Sec(x)tan(x)

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5
Q

d/dx cot(x)

A

-csc^2(x)

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6
Q

lim as x approaches 0 of sin(x)/x

A

1

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7
Q

lim as x approaches 0 of cos(x)-1/x

A

0

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8
Q

d/dx arcsin(x)

A

1/(1-x^2)^1/2

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9
Q

d/dx a^x

A

a^x[ln(a)]

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10
Q

d/dx arccos(x)

A

-1/(1-x^2)^1/2

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11
Q

d/dx arctan(x)

A

1/(1+x^2)

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12
Q

d/dx arccot(x)

A

-1/(1+x^2)

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13
Q

d/dx arcsec(x)

A

1/(x(x^2-1)^1/2)

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14
Q

d/dx arccsc(x)

A

-1/(x(x^2-1)^1/2)

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15
Q

d/dx sin(x)

A

cos(x)

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16
Q

(f^-1)’(x)

A

1/f’(f^-1(x))

17
Q

d/dx logb(x)

A

1/(xln(b))

18
Q

d/dx ln(x)

A

1/x