Question

se considera functia f:R ->R,f(x)=(3x-1)×e^x
Sa se calculeze f'(x) si f"(x) pentru x€R​

Answer 1

$f'(x)= 3e^x+(3x-1)e^x\\f'(x)=2e^x+3xe^x\\\f'(x)=e^x(3x+2)\\\f''(x)=3e^x+e^x(3x+2)\\\f''(x)=5e^x+3xe^x\\f''(x)=e^x(5+3x)$