Common Derivatives Flashcards

1
Q

d/dx x

A

1

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2
Q

d/dx sin x

A

cos x

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3
Q

d/dx cos x

A

-sin x

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4
Q

d/dx tan x

A

sec^2 x

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5
Q

d/dx sec x

A

sec x tan x

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6
Q

d/dx csc x

A

-csc x cot x

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7
Q

d/dx cot x

A

-csc^2 x

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8
Q

d/dx sin^-1

A

1/sqrt(1-x^2)

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9
Q

d/dx cos^-1

A
  • 1/sqrt(1-x^2)
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10
Q

d/dx tan^-1

A

1/1+x^2

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11
Q

d/dx a^x

A

a^x ln(a)

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12
Q

d/dx e^x

A

e^x

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13
Q

d/dx ln(x)

A

1/x, x > 0

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14
Q

d/dx log_a (x)

A

1/ x ln a , x > 0

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15
Q

d/dx ln|x|

A

1/x, x should not equal to 0

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