Question

For \[f(x)=3x^4+4x^3-12x^2+12\], what is \[f''(x)\]?

Options

• \[12x(x-1)(x+2)\]

• \[12x^3+12x^2-24x\]

• \[36x^2+24x-24\]

• \[36x^2+24x-12\]

Answer 1

Differentiate \[f'(x)=12x^3+12x^2-24x\] once more. This gives \[f''(x)=36x^2+24x-24\].