Calculus :

5. I only need 2 parts = letters c and d.

5) Suppose F is the following accumulation function, F(x) = _ t3 dt a) Find F' (x) b) Find F' (1) c Find F' (0) d) Find F'(2)Consider the function f (t) depicted in the graph below. Let F (x) = I: f (t)dt. a) Evaluate each of the following: i. F(4) = ii. F(3) = iii. F(0) = b) Use the Fundamental Theorem of Calculus to Evaluate the following: i. F'(3) = ii. F'(0) = iii. F'(4) = c) On what interval(s) is F (x) increasing? d) On what interval[s] is F (x) decreasing? e) Find the turning points of F (x). [Label each as a relative max or relative min). It will suffice to list the xvalues only