General Derrivatives Flashcards

0
Q

Differentiate Cos (x)

A
  • Sin (x)
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1
Q

Differentiate Sin (x)

A

Cos (x)

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2
Q

Differentiate Sin (kx)

A

k Cos (kx)

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3
Q

Differentiate Cos (kx)

A
  • k Sin (kx)
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4
Q

f(x) g(x) = uv,

Differentiate uv

A

u’v + uv’

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5
Q

f(x) = u and g(x) = v

Differentiate u/v

A

v^2

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6
Q

Differentiate Tan(x)

A

Sec^2 (x)

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7
Q

Differentiate Sec (x)

A

Sec (x) Tan (x)

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8
Q

Differentiate Cot (x)

A
  • Cosec^2 (x)
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9
Q

Differentiate Cosec (x)

A
  • Cosec (x) Cot (x)
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10
Q

Differentiate e^x which is the same as exp(x)

A

e^x

exp(x)

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11
Q

Differentiate e^kx which is the same as exp(kx)

A
ke^kx
k exp(kx)
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12
Q

Differentiate log (x)

A

x

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13
Q

Differentiate Sin^-1 (x)

A

sqrt( 1 - x^2)

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14
Q

Differentiate Cos^-1 (x)

A

sqrt( 1 - x^2)

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15
Q

Differentiate Tan^-1 (x)

A

1 + x^2