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Learn to interpret integrals as antiderivatives and apply the 2nd derivative test to find concavity and points of inflection. Practice solving differential equations using differentiation and integration formulas given by Jason L. Bradbury. Examples and homework included.
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PG. 409 Notes and Examples for Integration 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 2nd derivative test to find concavity and points of inflection. Created by Jason L. Bradbury
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
Pg. 409 H/W Here are some examples from the homework
Pg. 409 H/W Here are some examples from the homework
Pg. 409 H/W Here are some examples from the homework