Derivatives Flashcards

1
Q

d/dx [c]=?

A

0

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2
Q

d/dx [xn]=?

A

nxn-1

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3
Q

d/dx [x]=?

A

1

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4
Q

d/dx [Constant * f(x)]=?

A

Constant * d/dx [f(x)]

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5
Q

d/dx[f(x) +or- g(x)]=

A

d/dx[f(x)] +or- d/dx[g(x)]

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6
Q

Product Rule

A
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7
Q

Quotient rule

A
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8
Q

Chain rule

A

Cover inside, inside =u

outside =y

put u back in

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9
Q

Generalized power rule

A
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10
Q

d/dx [sin(x)]=?

A

cos(x)

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11
Q

d/dx[cos(x)]=?

A

-sin(x)

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12
Q

d/dx [tan(x)]=?

A

sec2(x)

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13
Q

d/dx [sec(x)]=?

A

sec(x)tan(x)

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14
Q

d/dx [csc(x)]=?

A

-csc(x)cot(x)

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15
Q

d/dx [cot(x)]=?

A

-csc2(x)

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16
Q

d/dx ln(x)=?

A

1/x

17
Q

d/dx ex=?

A

ex

18
Q

(logbx)’=?

A

1/(x ln b)

19
Q

(ln g(x))’=

A

g’(x)/g(x)

20
Q

linear approximation

A

L(x)=f(a)+f’(a)(x-a)

21
Q

(sin-1x)’=

A
22
Q

(tan-1x)’=

A
23
Q

(sec-1x)’=

A
24
Q

(cos-1x)’=

A
25
Q

(cot-1x)’=

A
26
Q

(csc-1x)’

A