I'm confused:
we know that y = x dy/dx, or rather... y/x = dy/dx,
suppose y = x^2,
dy/dx = 2x
y/x = 2x
y = (2x)x
y = 2x^2 ? contradiction?
I'm confused:
we know that y = x dy/dx, or rather... y/x = dy/dx,
suppose y = x^2,
dy/dx = 2x
y/x = 2x
y = (2x)x
y = 2x^2 ? contradiction?
I think that the OP is saying just that. (To OP) Why do you think that equation is always true (called an identity)? YOU even found a counter example! You are thinking that y=dy and x=dx? If if y=x^2, then to compute the derivative, dy/dx, you just divide both sides by x? So there is no need to ever use the product rule, the quotient rule nor the chain rule since you can just divide by x? Please think about what I am saying!
Last edited by Jomo; 06-17-2017 at 12:01 PM.
A mathematician is a blind man in a dark room looking for a black cat which isn’t there. - Charles R. Darwin
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