MATH116 Lecture Notes - Lecture 3: Chain Rule
9 Dec 2015
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Wednesday, october 7 lecture 13 : differentiation: the chain rule (refers to section 3. 7 in your text) Students who have mastered the content of this lecture know about: Students who have practiced the techniques presented in this lecture will be able to: apply the. Chain rule correctly when differentiating a composition of functions. Equivalently, if y = f (u) and u = g(x) then. 13. 2. 1 example if f (x) = (x2 + 1) find f (x). 13. 2. 2 example differentiate the function (x3 1)100. 13. 2. 4 example find the derivative of the function. 13. 2. 6 example suppose y = f 1(x). Find an expression for (f 1(x)) by using the. 13. 2. 7 example find the derivative of | x2 5| /(x + 1). The acceleration a(t) at time t is defined to be the instantaneous rate of change of the velocity v(t), that is, a(t) = v (t). Find the acceleration at time t = 3.
