Question

Let f be the function defined for x (> or =)0 with f(0)=5 and f', the first derivative of f, given by f'(x)=e^(-x/4)sin(x^2). The graph of y=f'(x) is shown above.
a. On the interval 0(less than or equal) x(less than or equal) 3, find the value of x at which f has an absolute maximum. Justify your answer.
b. Write an equation for the line tangent to the graph of f at x=2.