MATH 1010U Lecture Notes - Lecture 5: Analytic Geometry, Blood Vessel, Marginal Cost
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Rates of change in the natural and social sciences (3. 7) Recall: is the average rate of change of y with respect to x. xf. Also, is the instantaneous rate of change of y with respect to x. y x yd xd lim x . Inst rate of change of population with respect to time. Inst rate of change of medication in the bloodstream with respect to time. Inst rate of change of cost with respect to # of units produced ( marginal cost ) Note: there"s nothing new in this section just applications of derivatives. We"ve already done a bunch throughout chapt 3, so we won"t do any more in class at this point, but check out the posted file with extra examples, and try out more in the homework! Recall: over the past few weeks, we"ve spent lots of time exploring rules for differentiation, and we just spent time looking at applied problems.