Show all work in a neat and organized fashion. Clearly indicate your answers.
10 points possible.

1. (3 pts.) Differentiate this function. Do not simplify your answer.

L(x)=tan(cos x)

2. (3 pts.) The graph of the second derivative f¢¢ of a function f is shown. Find the intervals of concavity for f, and state the x-coordinates of the inflection points of f. Give reasons for your answer.

3. (4 pts.) Find the following limit exactly. Provide all major algebraic/symbolic steps to show your answer is correct.

lim x®+¥ æ è 7x-   _______ Ö49x2+3x     ö ø