Derivatives to memorize Flashcards

1
Q

Sin(x)

A

Cos(x)

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2
Q

Cos(x)

A

-sin(x)

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3
Q

Tan(x)

A

Sec^2(x)

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4
Q

Cot(x)

A

-csc^2(x)

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5
Q

Sec(x)

A

Sec(x)tan(x)

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6
Q

Csc(x)

A

-csc(x)cot(x)

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7
Q

ln(x)

A

1 / x

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8
Q

e^x

A

e^x

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9
Q

ax^n

A

anx^n-1

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10
Q

Square root of x

A

1 / 2 (square root of x)

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11
Q

ln absolute zero x

A

1 / x

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12
Q

log superscript b (x)

A

1 / (x) (lnb)

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13
Q

c

A

0

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14
Q

X

A

1

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15
Q

1 / x

A

-1 / x^2

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16
Q

Cube root of x

A

(1/3) (x^-2/3)

17
Q

1 / square root of x

A

(-1/2) (x^-3/2)

18
Q

a^x

A

a^x • lna

19
Q

X^0.5

A

1 / 2 • square root of x

20
Q

Sin^-1(x)

A

1 / square root of 1-x^2

21
Q

Cos^-1(x)

A

-1 / square root of 1-x^2

22
Q

Tan^-1(x)

A

1 / 1+x^2