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18 Cards in this Set
- Front
- Back
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Sum/Difference Rule
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(f+g)' = f' + g'
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Product Rule
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(fg)' = fg' + gf'
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Quotient Rule
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(f/g)' = (gf' -- fg') / (g)^2
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d/dx (sinx) =
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d/dx (sinx) = cos x
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d/dx (cosx) =
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d/dx (cosx) = -sinx
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d/dx (tan x) =
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d/dx (tan x) = sec^2 x
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d/dx (csc x) =
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d/dx (csc x) = -csc x cot x
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d/dx (sec x) =
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d/dx (sec x) = sec x tan x
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d/dx (cot x) =
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d/dx (cot x) = -csc^2 x
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Chain Rule
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F(x) = f(g(x)) then
F'(x) = f '(g(x)) ∙ g'(x) |
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d/dx (arcsin) =
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d/dx (arcsin) = 1/ (√1--x^2)
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d/dx (arccos) =
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d/dx (arccos) = -- 1/ (√1--x^2)
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d/dx (arctan) =
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d/dx (arctan) = 1/ (1 + x^2)
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d/dx (arccsc) =
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d/dx (arccsc) = --1/ (x√x^2 -- 1)
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d/dx (arcsec) =
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d/dx (arcsec) = 1/ (x√x^2 -- 1)
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d/dx (arccot) =
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d/dx (arccot) = --1/ (1+ x^2)
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d/dx (logₐx) =
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d/dx (logₐx) = 1/ (xln a)
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d/dx (ln x) =
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d/dx (ln x) = 1/x
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