Question

Să se calculeze derivatele
f(x) = x²(supra)x+1

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Answer 1

este formula (f/g)'= [(f'×g-f×g')/g^2]

[x^2/(x+1)]= [(x^2)'(x+1)-x^2(x+1)']/(x+1)^2=

[2x(x+1)-x^2]/(x+1)^2=

[2x^2+2x-x^2]/(x+1)^2=

(x^2+2x)/(x+1)^2