Rest Flashcards
How would you solve arctan(arctanx)
Chain rule
Differentiate 2^x
2^xln2 (ln both sides then differentiate)
What is a point of inflection
Where the second derivative=0
What rule would you use to differentiate 4x(2x+1)^3
Product rule
Differentiate ln(x^2+4x+2)
(2x+4)/(x^2+4x+2)
What happens if something is about to tilt?
If it is about to tilt about A then there is no reaction force for A rA=0
arc length in radians
R0
area in radians
1/2 r^2 0
Identity for tan
tan^2+1=sec^2
Identify for cosec
Cot^2+1=cosec^2
Sin2A
2sinAcosA
Cos2x ( in terms of squares)
cos^x-sin^2x
cos2x (interms of cos)
2cos^2 (x) - 1
cos2x (in terms of sin)
1-2sin^2 (x)
Identity for sech
sech^x=1-tanh^x
Identity for coth
coth^x=cosech^+1
what does coth differentiate to
-cosech^x
What does sechx differentiate to
-sech tanh
Describe the r sin and r cos things
What does cosech differeniate to
Sosech coth
cosh 2x
For methods of differences start at what
0!!!!
mixing
Unlikely mixing is instaneous
SHow two non parralel lines same plane
Show they intersect
Vector equiation of plane
lamda mew
Cartesian plane
x,y,z
Mian thing for double second order limit
Things can become neg when theyu shouldnt
Singular matricies
determinant=0
Non singular matrix
Determinant not=0
What does it mean if singular
Either 0 solutions of infinite solutions
What is infinite solutions mean
Sheath as planes intersect to form line or can all be same plane
Singular matrix with 0 solutions
Prism or they can all be parrale
Det a not equal 0
Meet at single point
Same equations when you sub in
Sheaf
Two equations that cannpot be possible when you plug in
Prism
Consistent
Sheaf
Non consistent
Prism
All same
Stacked on top
Tangents intersect circle once so
discriminant=0
concave
less than 0
Convec
Positive
