Question

Se considera functia f:R → R, f(x)=x°-3x+2.

Answer 1

Răspuns:

f(x)=x³-3x+2

f `(x)=3x²-3=3(x²-1)=3(x+1)(x-1)

b)limf(x)/x³-4x=lim(x³-3x+2)/(x³_4x)=

limx³(1-3x/x³+2/x³)/x³(1-4x/x³)=

lim(1-3/x²+2/x³)/(1-4/x²)=(1-0+0)/(1-0)=1/1=1

c)Ec     tangentei=y-f(xo)=f `(xo)(x-xo) unde     xO=2
f(2)=2³-3*2+2=8-6+2=4

f `(2)=3(2+1)(2-1)=3*3*1=9
y-4=9(x-2)

y=9x-18+4

y=9x-14

Explicație pas cu pas: