Derivative Facts Flashcards

From Rules 4 Derivatives

1
Q

Derivative of x^n

A

nx^n-1

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2
Q

Derivative of a Constant

A

0

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3
Q

Derivative of ax

A

a

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4
Q

Derivative of x^2

A

2x

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5
Q

Derivative of 1/x

A

-1/x^2

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6
Q

Derivative of √x

A

1/2√x

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7
Q

Derivative of Ln(x)

A

1/x

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8
Q

Derivative of e^x

A

e^x

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9
Q

Derivative of a^x

A

a^x Ln(a)

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10
Q

Derivative of sin(x)

A

cos(x)

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11
Q

Derivative of cos(x)

A

-sin(x)

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12
Q

Derivative of tan(x)

A

sec^2 (x)

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13
Q

Derivative of cot(x)

A

-csc^2 (x)

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14
Q

Derivative of sec(x)

A

sec(x)tan(x)

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15
Q

Derivative of csc(x)

A

-csc(x)cot(x)

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16
Q

Derivative of arctan(x)

A

1/1+x^2

17
Q

Derivative of arcsin(x)

A

1/ √1-x^2