1. \( \frac{d}{d x}\left(\left(x^{2}-11 x+24\right)^{7}\right)= \)
(A) \( 7(2 x-11)^{6} \)
(B) \( 7(2 x-11)^{6}\left(x^{2}-11 x+24\right) \)
(C) \( 7\left(x^{2}-11 x+24\right)^{6} \)
(D) \( 7\left(x^{2}-11 x+24\right)^{6}(2 x-11) \)
\[
f(x)=\left\{\begin{array}{ll}
x^{3} & \text { for } x<0 \\
x^{2} & \text { for } 0 \leq x \leq 2 \\
4 & \text { for } x>2
\end{array}\right.
\]
2. If the function \( f \) is defined as shown, then \( f \) is differentiable for
(A) all values of \( x \)
(B) all values of \( x \) except \( x=0 \)
(C) all values of \( x \) except \( x=2 \)
(D) all values of \( x \) except \( x=0 \) and \( x=2 \)