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Unformatted text preview: 10/1/2009 Definition__of Differentials Let y = f (x) represent a function that is g   differentiable in an open interval
. Dlﬁerent'a '5 containing x. The differential of x (denoted by dx) is any nonzero real number. The differential of y (denoted by Calculus I 0'7) i ,
Section 3.10 J” = f (X) dx Deﬁnitions of the Hyperbolic Functions ‘g Hyperbolic Functions Section 3.11 catenary Curve
9 y = k cosh (x/k)
©£mhantmttam' Dom 10/1/2009 Derivatives of Hyperbolic Functions  dx [sinh X] = cosh X
 1 dx [cosh x] = smhx ...
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 Spring '11
 PamelaSatterfield

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