Derivative Review Flashcards

Review Derivatives

1
Q

c

A

0

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2
Q

ax

A

1

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3
Q

x^2

A

2x

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4
Q

√x

A

(1/2)x^(-1/2)

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5
Q

e^x

A

e^x

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6
Q

a^x

A

ln(a)a^x

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7
Q

ln(x)

A

1/x

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8
Q

loga(x)

A

1 / (x ln(a))

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9
Q

sin(x)

A

cos(x)

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10
Q

cos(x)

A

−sin(x)

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11
Q

tan(x)

A

sec2(x)

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12
Q

sin-1(x)

A

1/√(1−x2)

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13
Q

cos-1(x)

A

−1/√(1−x2)

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14
Q

tan-1(x)

A

1/(1+x2)

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15
Q

cf

A

cf’

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16
Q

x^n

A

nx^(n−1)

17
Q

f + g

A

f’ + g’

18
Q

f - g

A

f’ − g’

19
Q

fg

A

f g’ + f’ g

20
Q

f/g

A

(f’ g − g’ f )/g^2

21
Q

1/f

A

−f’/f^2

22
Q

f º g

A

(f’ º g) × g’

23
Q

f(g(x))

A

f’(g(x))g’(x)