MATH 102 Study Guide - Fall 2018, Comprehensive Midterm Notes - Graph Of A Function, Linear Approximation, Min Chinese
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MATH 102 Full Course Notes
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Lecture 9 - compound function, chain rule, sketching anti-derivatives. { f (g(x))} = f "(g(x))g "(x) = df dg dg dx df dx. Example 1: kelp population k = kelp population u = urchin population: = otter population p = public policy. Kelp decreases when urchin population increases, therefore k"(u) has a negative correlation. dk: write this example in terms of do dk do dk du du do. Example 1: free falling objects: an object falling has a constant (negative) acceleration(a) due to gravity, equation of acceleration, equation of velocity, equation of position: s"(t) = at + b s""(t) = a t 2. *from position to velocity to acceleration, we drive each equation to get another function, the order is position > velocity > acceleration. *the equation of position can be gained from anti-deriving velocity, and the equation of velocity can be gained from anti-deriving acceleration: when t = 0, s(t) => s(0) = a.
