Carry out the following steps for the given functions f and points a.

a. Find the linear approximation L to the function f at the point a.

b. Graph f and L on the same set of axes.

c. Based on the graphs in part (a), state whether linear approximations to f near a are underestimates or overestimates.

d. Compute f"(a) to confirm your conclusion in part (c).

f(x) = √2 cos x, a = π/4