Correct option is DDifferentiate term by term:f′(x)=ddx(−3x2)+ddx(6x)+ddx(−4)f′(x)=−3⋅2x1+6⋅1−0f′(x)=−6x+6\begin{aligned}&\text{Differentiate term by term:} \\&f'(x) = \frac{d}{dx}(-3x^2) + \frac{d}{dx}(6x) + \frac{d}{dx}(-4) \\&f'(x) = -3 \cdot 2x^1 + 6 \cdot 1 - 0 \\&f'(x) = -6x + 6\end{aligned}Differentiate term by term:f′(x)=dxd(−3x2)+dxd(6x)+dxd(−4)f′(x)=−3⋅2x1+6⋅1−0f′(x)=−6x+6