Question

Se considera functia f:R-R, f(x)= -x^3+3x+9
a) Aratati ca f'(x)= 3(1-x)(1+x), x € R​

Answer 1

Răspuns:

Explicație pas cu pas:

f(x)= -x^3+3x+9

f'(x) = -3x^2 + 3 = 3(1 - x^2) = 3(1 - x)(1 + x)

Answer 2

a) f'(x)=-3x²+3. =3(-x²+1)=3(1-x²)=3(1-x)(1+x)