Question

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

Options

• \[3x^3+4x^2-12x\]

• \[12x^3+12x^2-12x\]

• \[36x^2+24x-24\]

• \[12x^3+12x^2-24x\]

Answer 1

Differentiating each term gives \[12x^3\], \[12x^2\], \[-24x\], and \[0\]. Hence \[f'(x)=12x^3+12x^2-24x\].