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i dont understand the use of differentials.. y=x^3 -3sqrootx dy=f'(x)dx dy=(3x^2)-(3*(1/(2sqrootx))dx its just differentiation and then putting dx..
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Do you know about Leibniz notation for derivatives?
yes
\[ f'(x) = \frac{dy}{dx} \\ \therefore \ dy=f'(x)dx\]
isnt that obvious? why give it a section in a textbook
Hehe, I don't know, Math books can be like that, depending on the subject and author, but yes, it's a regular derivative. Maybe they just want to empathize that you can use algebraic methods for manipulation with the Leibniz notation too, unlike the Lagrange Notation where you are a bit more limited.
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ahh i see ty
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