Rest Flashcards

1
Q

How would you solve arctan(arctanx)

A

Chain rule

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2
Q

Differentiate 2^x

A

2^xln2 (ln both sides then differentiate)

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3
Q

What is a point of inflection

A

Where the second derivative=0

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4
Q

What rule would you use to differentiate 4x(2x+1)^3

A

Product rule

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5
Q

Differentiate ln(x^2+4x+2)

A

(2x+4)/(x^2+4x+2)

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6
Q

What happens if something is about to tilt?

A

If it is about to tilt about A then there is no reaction force for A rA=0

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7
Q

arc length in radians

A

R0

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8
Q

area in radians

A

1/2 r^2 0

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9
Q

Identity for tan

A

tan^2+1=sec^2

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10
Q

Identify for cosec

A

Cot^2+1=cosec^2

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11
Q

Sin2A

A

2sinAcosA

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12
Q

Cos2x ( in terms of squares)

A

cos^x-sin^2x

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13
Q

cos2x (interms of cos)

A

2cos^2 (x) - 1

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14
Q

cos2x (in terms of sin)

A

1-2sin^2 (x)

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15
Q

Identity for sech

A

sech^x=1-tanh^x

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16
Q

Identity for coth

A

coth^x=cosech^+1

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17
Q

what does coth differentiate to

18
Q

What does sechx differentiate to

A

-sech tanh

19
Q

Describe the r sin and r cos things

20
Q

What does cosech differeniate to

A

Sosech coth

21
Q

cosh 2x

22
Q

For methods of differences start at what

23
Q

mixing

A

Unlikely mixing is instaneous

24
Q

SHow two non parralel lines same plane

A

Show they intersect

25
Vector equiation of plane
lamda mew
26
Cartesian plane
x,y,z
27
Mian thing for double second order limit
Things can become neg when theyu shouldnt
28
Singular matricies
determinant=0
29
Non singular matrix
Determinant not=0
30
What does it mean if singular
Either 0 solutions of infinite solutions
31
What is infinite solutions mean
Sheath as planes intersect to form line or can all be same plane
32
Singular matrix with 0 solutions
Prism or they can all be parrale
33
Det a not equal 0
Meet at single point
34
Same equations when you sub in
Sheaf
35
Two equations that cannpot be possible when you plug in
Prism
36
Consistent
Sheaf
37
Non consistent
Prism
38
All same
Stacked on top
39
Tangents intersect circle once so
discriminant=0
40
concave
less than 0
41
Convec
Positive
42