differentiatiaion Flashcards

1
Q

if f’(x)<0 then

A

decreasing function

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2
Q

if f’(x) = 0

A

stationary point

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3
Q

if f’(x)>0

A

increasing function

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4
Q

if f’‘(x) < 0

A

concave/ maximum

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5
Q

if f’‘(x) = 0

A

point of inflection

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6
Q

if f’‘(x) > 0

A

convex / minimum

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7
Q

derviative of ax^n

A

an x^(n-1)

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8
Q

derviative of a^x

A

(ln a ) a^x

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9
Q

derviative of e^x

A

e^x

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10
Q

derviative of lnx

A

1/x

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11
Q

derviative of sin x

A

cos x

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12
Q

derviative of cos x

A

-sin x

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13
Q

derviative of tan x

A

formula book

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14
Q

derviative of sec x

A

formula book

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15
Q

derviative of cot x

A

formula book

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16
Q

derviative of cosec x

A

formula book

17
Q

derviative of f(blah)

A

f’(blah) x blah’

18
Q

derviative of uv

A

uv’ + u’v

19
Q

derviative of u/v

A

formula booklet

20
Q

derviative of f(y)

A

implicit
f’(y) x dy/dx

21
Q

dy/dx is the same as

A

1/dx/dy

22
Q

paarmetric dy/dx

A

y’/x’

23
Q

connected rate of change dV/dt =

A

dV/? x ?/dt

24
Q

rate means

A

over dt