Differentiating y = ln(x)
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dy/dx = 1/x
,State the domain of y = arctanx
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-∞ < x < ∞
When integrating, you can take any __________ out of the integral to simplify things
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Constants
cot² θ
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csc² θ - 1
Integral of 1/x
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, ln IxI + C
Integration by parts
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uv - ∫ v(du/dx) dx
experiment
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- repeatable process
- rise to number of outcomes
product moment correlation
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Describes the linear correlation between two variables and takes a value
between -1 - 1
-1 - strong negative correlation
0 no linear correlation
1 strong positive correlation
, cos^2 x
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(1+cos2x)/2
If you have a binominal expansion of (a+bc)^n where n is not a positive integer, then the
expansion is only valid when
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|bx| < |a|
This is because expansion is not defined for all values of x
When there is a change in sign of y values and f(x) is continuous, there is evidence to
suggest that a ____lies between the values
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Root. Note:find root to one more d.p then question asks then round.
Arc length
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dy/dx = 1/x
,State the domain of y = arctanx
Give this one a try later!
-∞ < x < ∞
When integrating, you can take any __________ out of the integral to simplify things
Give this one a try later!
Constants
cot² θ
Give this one a try later!
csc² θ - 1
Integral of 1/x
Give this one a try later!
, ln IxI + C
Integration by parts
Give this one a try later!
uv - ∫ v(du/dx) dx
experiment
Give this one a try later!
- repeatable process
- rise to number of outcomes
product moment correlation
Give this one a try later!
Describes the linear correlation between two variables and takes a value
between -1 - 1
-1 - strong negative correlation
0 no linear correlation
1 strong positive correlation
, cos^2 x
Give this one a try later!
(1+cos2x)/2
If you have a binominal expansion of (a+bc)^n where n is not a positive integer, then the
expansion is only valid when
Give this one a try later!
|bx| < |a|
This is because expansion is not defined for all values of x
When there is a change in sign of y values and f(x) is continuous, there is evidence to
suggest that a ____lies between the values
Give this one a try later!
Root. Note:find root to one more d.p then question asks then round.
Arc length
Give this one a try later!
