Derivative Of Trig Functions 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

sec²(x)

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4
Q

cot(x)

A

-csc²(x)

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5
Q

sec(x)

A

tan(x)sec(x)

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6
Q

csc(x)

A

-csc(x)cot(x)

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7
Q

Sin-1(x)

A

__1__/

√1-x²

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8
Q

cos-1(x)

A

_-1__/

√1-x²

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9
Q

tan-1(x)

A

__1_/

1+x²

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10
Q

Sec-¹(x)

A

___1___/

|x|√x²-1

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11
Q

Csc-¹(x)

A

__-1___/

|x|√x²-1

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12
Q

Cot-¹(x)2² we we

A

-1/

1+x²

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13
Q

ln(x)

A

1/x

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14
Q

logb(x)

A

1/

ln(b)•x

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15
Q

a^x

A

a^x•ln(a)

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16
Q

[f-¹(x)]’

A

f’(f-¹(x))