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Se considera functia f:R->R, f(x) = e^x + x - 1.
Aratati ca f'(x) = e^x + x - 1.


Răspuns :

f(x) = e^x + x - 1
f'(x)= (
e^x + x - 1)'

regulile de derivare

(e^x)' = e^x
x'= 1 
c'=0, c' - constanta, adica numar

f'(x)= (e^x + x - 1)'
= e^x + 1