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39 Cards in this Set
- Front
- Back
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Arcsinx =
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sinx
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Arccos =
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cosx
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What is the domain of Arcsinx?
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-pi/2 ,< x < pi/2
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What is the domain of Arccos?
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0 < x < pi
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Arctanx =
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tanx
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Arcsecx =
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secx
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What is the domain of Arctanx?
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-pi/2 ,< x < pi/2
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What is the domain of Arcsecx?
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0 < x < pi, x != pi/2
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Write arcsin in another way
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sin-1 x
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sin(Arccos x) =
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Sqrt (1-xsquared).
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cos(Arcsin x) =
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Sqrt (1-xsquared).
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sec(Arctanx)
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Sqrt (1+xsquared).
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tan(Arcsecx)=
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Sqrt (1-xsquared) if x>= 1
Sqrt (1+xsquared) if x <1 |
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Dx Arcsinx =
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1/Sqrt (1-xsquared).
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DxArcCosx =
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-1/Sqrt (1-xsquared).
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DxArctanx =
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1/Sqrt (1+xsquared)
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DxArcsecx =
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1/|x| Sqrt (1-xsquared)
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Dx tanx
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sec sqrdx
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Dxsecx
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secxtanx
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Dxcotx =
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-cscSqrdx
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Dxcscx=
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-cscxcotx
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Dxcosx =
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-sin x
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Dxsinx =
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cosx
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secx =
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1/cosx
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tanx =
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sinx/cosx
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cotx =
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costx/sinx
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cscx =
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1/sinx
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sin(-x) =
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-sinx
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cos(-x)
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cosx
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tan(-x) =
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-tanx
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sin2x =
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2sinxcosx
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cos2x =
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cos Sqrd x - sin Sqrd x
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cos2x =
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2 cos SQrd x - 1
1 - 2 sin SQrd x |
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sin(x+y) =
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sinx cosy =cosxsiny
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cos(x+y) =
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cosxcosy - sinxsiny
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tan(x+y) =
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tanx +tan y/ 1 - tanxtany
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If you have a ln of a quotient, how could you rewrite it?
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as subtraction....
ln(2x) - ln(4x-3) |
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If a ln is raised to a power, I could...
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move the power out in front of the ln before I take the derivative.
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the derivative of e raised to some power is.... e raised to 2x for example.
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e to the 2x times the derivative of the exponent (2x) so...
d to the 2x times 2 |
