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Reciprocal identity

Using Ihe Euler s chain relation and the reciprocal identity [Further information 2,2]... [Pg.39]

The next identity is the reciprocal identity, which states that a derivative is equal to the reciprocal of the derivative with the roles of dependent and independent variables reversed ... [Pg.198]

Since the partial derivative of x with respect to x is equal to unity, this equation becomes identical with Eq. (7.26) when the reciprocal identity is used. Our derivation is indefensible, but the result is correct. [Pg.201]

Exercise 8.3. Show that the reciprocal identity is satisfied... [Pg.107]

The Reciprocal Identity. If the roles of the independent and dependent variables are reversed, keeping the same variables held constant, the resulting derivative is the reciprocal of the original derivative. An example of this identity is ... [Pg.1236]


See other pages where Reciprocal identity is mentioned: [Pg.39]    [Pg.41]    [Pg.41]    [Pg.42]    [Pg.64]    [Pg.65]    [Pg.66]    [Pg.67]    [Pg.199]    [Pg.202]    [Pg.39]    [Pg.41]    [Pg.41]    [Pg.41]    [Pg.42]    [Pg.64]    [Pg.67]    [Pg.42]    [Pg.44]    [Pg.199]    [Pg.202]    [Pg.107]    [Pg.108]    [Pg.109]    [Pg.26]    [Pg.64]    [Pg.1237]   
See also in sourсe #XX -- [ Pg.198 ]

See also in sourсe #XX -- [ Pg.198 ]

See also in sourсe #XX -- [ Pg.94 ]

See also in sourсe #XX -- [ Pg.1236 ]




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Mathematical identities reciprocal

The Reciprocal Identity

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