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3.10, 3.11 Differentials, Hyperbolics

# 3.10, 3.11 Differentials, Hyperbolics - Definition_of...

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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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