Derivatives Flashcards

1
Q

d
—– (sin x )=
dx

A

cos x

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2
Q

d
—– (cos x )=
dx

A

-sin x

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3
Q

d
—– (tan x)=
dx

A

sec^2 x

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4
Q

d
—– (sec x)=
dx

A

sec x* tan x

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5
Q

d
—– (csc x)=
dx

A

-csc x* cot x

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6
Q

d
—– (cot x)=
dx

A

-csc^2 x

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7
Q

d
—– (sin ^-1 x)=
dx

A

square root 1-x^2

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8
Q

d
—– (cos ^-1 x)=
dx

A

square root 1-x^2

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9
Q

d
—– (tan ^-1 x)=
dx

A

square root 1+x^2

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10
Q

d
—– ( a^x) =
dx

A

a^x ln(a)

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11
Q

d
—– ( e^x) =
dx

A

e^x

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12
Q

d
—– ( ln (x) ) =
dx

A

1
—– , x>0
x

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13
Q

d
—– ( ln |x| ) =
dx

A

1
—— , x cannot equal to 0
x

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14
Q

d
—– ( log [subscript a] (x) ) =
dx

A

1
——- , x>0
x ln a

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15
Q

d
—– (x)=
dx

A

1

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