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23 Cards in this Set
- Front
- Back
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what is the product rule?
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if y=u*v, then y'=u*v' + v*u'
or one dee two plus two dee one |
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what is the quotient rule?
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if y= u/v, then y'= vu'-uv'/v2
or low dee high minus high dee low over square below |
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tan x
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sin x/cos x
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csc x
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1/ sin x
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sec x
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1/ cos x
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cot x
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cos x/sin x
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sin' x
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cos x
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cos' x
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-sin x
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tan' x
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sec2 x
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csc' x
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-csc x cot x
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sec' x
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sec x tan x
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cot' x
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-csc2 x
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if a function is _____ then it is ____
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differentiable; continuous
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if a function is not ______ then it is not ________
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continuous; differentiable
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sin ⁻ⁱ
and domain |
1/√1-x2
[-pi/2, pi/2] |
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cos ⁻ⁱ
and domain |
-1/√1-x2
[0, pi] |
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tan ⁻ⁱ
and domain |
1/1+x2
(-pi/2, pi/2) |
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cot ⁻ⁱ
andd domain |
-1/1+x2
(0, pi) |
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sec ⁻ⁱ
and domain |
1/∥x∥√x2-1
[0, pi] x cant = pi/2 |
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csc⁻ⁱ
and domain |
-1/∥x∥√x2-1
[-pi/2, pi/2] x cant = 0 |
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f is differentiable at x=c if
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f'(c) exists
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f is differentiable on an interval if
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its differentiable for every x value in the interval
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f is differentiable iff
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it is differentiable at every x value on the domain
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