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Unformatted text preview: ENGR 201 – Summer Unit 2 Study Guide Unit Content : Section Pages Content 14.3 984-996 Partial Derivatives, Differentiability, Continuity 14.4 996-1005 The Chain Rule for Partial Derivatives, The Implicit Function Theorem for Finding gG g¡ 14.9 1049-1054 Partial Derivatives with Constrained Variables Learning Objectives : 1. Find g ¢¡ , ¢ ¢G , ¢ ¢£ , etc. for a given function of more than one (independent) variable. 2. Find partial derivatives implicitly for ¤ = ¥¦§, ¨© where ¤ is implicitly defined by a given equation. 3. Find specified partial derivatives of second and higher order for a given function of more than one variable. 4. Given ¥ a function of two or more intermediate variables each of which is a specified function of an independent variable ª, find g« g¬ (a) using the chain rule, and (b) by substitution. 5. Use the Implicit Function Theorem to find gG g¡ where ¨ = ¥¦§© is implicitly defined by a given equation of the form ¦§, ¨© = constant. constant....
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- Summer '08
- Derivative, #, implicit function theorem