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Created by Jason L. Bradbury 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.

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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

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Differentiation Formula Integration Formula

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Here are some examples from the homework

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Objectives: 1.Be able to determine where a function is concave upward or concave downward with the use of calculus. 2.Be able to apply the second derivative.

Objectives: 1.Be able to determine where a function is concave upward or concave downward with the use of calculus. 2.Be able to apply the second derivative.

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