Let f(x) = sin(x2 cos(x))
1. Find a formula for the fourth derivative of f(x) and find the numerical value of f H4LH0L, that is, the fourth derivative of f at 0.
2. Find the value of x between 1 and 2 at which f(x) = 0. Give your answer to at least 4 decimal places.
3. Suppose F(x) is the antiderivative of f(x) for which F(0) = 0. Plot the graphs of f(x) and F(x) on the same axes for x between
0 and 5.