The 2nd Fundamental Theorem of Calculus, derivatives of accumulation functions.

1. Finding the Area Between Curves
(maybe?)
Spirals Go Round in Circles

3. The Second Fundamental Theorem of Calculus
If ƒ is a continuous function on some interval [a, b] and an accumulation
function A is defined by then
Let's look at this geometrically ...

4. Given each accumulation function A(x), find it's derivative A'(x).

5. Sketch the graph ƒ(t) = t and complete the table of values for the function A(x).
x 0 1 2 3 4
x 0 -1 -2 -3 -4

6. Given each accumulation function A(x), find it's derivative A'(x).

7. Accumulation functions are COMPOSITE FUNCTIONS!

8. Given each accumulation function find it's derivative.