Calculus - Derivs List

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Created by:

dankauffman  on July 13, 2011

Subjects:

mat190

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Calculus - Derivs List

Constant Multiple Rule:
d/dx [cƒ]
c∗ƒ'
1/15
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Definitions

Constant Multiple Rule:
d/dx [cƒ]
c∗ƒ'
Sum or Difference Rule:
d/dx [ı g]
= ƒ' ± g'
Product Rule:
d/dx [ƒg]
= (ƒ ∗ g') + (g ∗ƒ')
Quotient Rule: d/dx [ƒ/g] (g∗ƒ' - ƒ∗g') / g²
Constant Product Rule:
d/dx [c]
0
(Simple) Power Rule: d/dx [xⁿ] nxⁿ⁻¹
Constant Rue:
d/dx [x]
1
d/dx [sin x] cos (x)
d/dx [cos x] -sin ( x)
d/dx [tan x] sec² (x)
d/dx [csc x] -csc (x) ∗ cot (x)
d/dx [sec x] -sec (x) ∗ tan (x)
d/dx [cot x] -csc² (x)
Chain Rule: d/dx[ƒ(u)] ƒ'(u) ∗ u'
General Power Rule: d/dx[uⁿ] n ∗ uⁿ⁻¹ ∗ u'

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215.0 secs by dankauffman