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17 Cards in this Set
- Front
- Back
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[ln x]′
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1/x
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[x^a]′
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ax^(a−1) , a any real number
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[sin x]′
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cos x
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[e^x]′
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e^x
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[cos x]′
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-sin x
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[tan x]′
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sec^2 x
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[cot x]′
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− csc^2 x
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[sec x]′
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tan x sec x
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[csc x]′
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− cot x csc x
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[arcsin x]′
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1/ (√1-x^2)
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[arccos x]′
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-1/(√1− x^2)
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[arctan x]′
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1/(1+x^2)
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[arccot x]′
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-1/(1+x^2)
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Linearity:
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[f(x) + g(x)]′ = f ′(x) + g′(x)
[cf(x)]′ = cf ′(x), c any constant |
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Product Rule:
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[f(x)g(x)]′= f ′(x)g(x) + f(x)g′(x)
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Quotient Rule:
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[f(x)/g(x)]'=(f'(x)g(x)-f(x)g'(x))/(g(x)^2)
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Chain Rule:
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[f (g(x)]′= f′(g(x))g′(x)
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