Determine the local maximum and minimum values of f(x)=2x³+3x²-12x+4 using the second derivative test when it applies. Local maximum value is 24 at x=-2. Local minimum value is -3 at x=1. Local maximum value is 17 at x=-1. Local minimum value is 8 at x=2. Local minimum value is 17 at x=-1. Local maximum value is 8 at x=2. Local minimum value is 24 at x=-2. Local maximum value is -3 at x=1