State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0 Students apply the definition of the integral to model problems of physics, economics, and so forth obtaining results in terms of integrals. Objective – To be able to use the 2 nd derivative test to find concavity and points of inflection.

Theorem: G(x) = F(x) + C Remember:

Example 1 Find the general solution fo the differential equation To begin, you need to find a function whose derivative is 2. Now we can apply the Theorem

Differentiation Formula Integration Formula

Pg. 358 – 359 # 9 – 13 odd, 19, 23, 25, and 33 – 39 odd