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derivabila f(x)=√x^2+1

Răspuns :

f'(x)=(√x²+1)'=(x²+1)'/2√x²+1=2x/2√x²+1=x/√x²+1

Am aplicat formula:

(√u)'=u'/2√u, unde u este o expresie (in cazul de fata x²+1).