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f(x)=e^x(x^2+4x+5)

f'(x)=?


Răspuns :

f'(x) =(e^x)' * (x²+4x+5) + e^x * (x²+4x+5)'= e^x( x²+4x+5+2x+4) =e^x(x²+6x+9)=e^x * (x+3)²=(x+3)² * e^x
as simple as that!