Is this statement (differential calculus) correct?
"If the terms of two functions are not equal, the terms of their derivatives cannot be equal either."
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Not true – be g(x) = f(x) + c
The following applies:
No,
f(x) = 4x + 2 ; f'(x) = 4
g(x) = 4x ; g'(x) = 4
No, it’s not.
and
are different but both have the same derivation:
No, no
This is the reason why one has to write a bold +C when reversing the derivation (integration ).
x3 derive is 3×2…………but back you have to write x3+C because all fts of the form x3+C yield 3×2.
Yes, they can. An example:
if derivatives are meant to a specific point, then not:
but if the derivation functions are meant, then not two functions can result in a derivation (i.e. true)
(at least according to my knowledge)
Your knowledge is wrong:(
ok