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picture1_Derivative Formulas 170931 | 17act M10250 Explnderiv


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File: Derivative Formulas 170931 | 17act M10250 Explnderiv
Name Date Math 10250 Activity 17: Derivative of Logarithms and Exponentials (Section 3.5) GOAL:Tointroduce the derivative of the exponential and logarithmic functions, and use them to model population growth ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 2 years ago
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...Name date math activity derivative of logarithms and exponentials section goal tointroduce the exponential logarithmic functions use them to model population growth cooling radioactive decay formulas y x f e q what is a let s nd ex at rst by denition h tangent lim line estimate limit above making table values so cx natural function in general t te example if then lnb since b g lnx logarithm find d ln dx equation graph dierential equations as models for exercise verify that aert solution dy ry dt we see here rate change proportional its amount present time many phenomina nature are modeled such quantity r called continuous some examples modeling unrestricted resources size end days colony insects given formula p instantaneous insect newton law which an object cools dierence between temperature surrounding dh m aekt abowlofsoupisbroughtintoaroomwhosetemperatureiskeptatasteadyf threeminutes later soup decreasing per minute carbon dating invented willard libby determine age plant animal sa...
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