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..

Question

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..

anonymous · Answer

Do you know about Leibniz notation for derivatives?

anonymous · Answer

yes

anonymous · Answer

$$ f'(x) = \frac{dy}{dx} \
\therefore \ dy=f'(x)dx$$

anonymous · Answer

isnt that obvious? why give it a section in a textbook

anonymous · Answer

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.

anonymous · Answer

ahh i see ty