Question

Se considera functia f : R -> R, f(x) = 2x^3 + 3x^2 + 5
Aratati ca f'(x) = 6x(x+1), x ∈ R

Answer 1

f'(x)=3*2x^2+2*3x=6x^2+6x=6x(x+1)

Answer 2

f(x)=2x³+3x²+5
f*(x)=6x(x+1),x∈R
f*(x)=(2x³+3x²+5)*⇒(2x³)*+(3x²)*+(5)*⇒6x²+6x+0⇒6x²+6x⇒6x(x+1)
f*(x)=6x(x+1)   (A)
sucees