3c-spring2011-exam_2_review1

3c-spring2011-exam_2_review1 - Math 3C Exam#2 Study Guide...

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Math 3C — Exam #2 Study Guide Laney College, Spring 2011 Fred Bourgoin This exam will cover chapters 14 and 15. I have listed all of the topics you should be familiar with, along with some suggested review problems. Chapter 14: Partial Differentiation Approximate partial derivatives from a table or a contour diagram. Compute partial derivatives algebraically. Find an equation for the plane tangent to a surface at a given point. (The surface might be the graph of a function of 2 variables or a level surface of a function in 3 variables.) Use differentials to approximate values of a function near a known point. Compute the gradient of a function (of 2 or 3 variables). Know the properties of the gradient (of 2 or 3 variables). Find the derivative of a function (of 2 or 3 variables) in a given direction. Use the chain rule to differentiate. Approximate second partials (including mixed partials) from a table or a contour diagram. Compute second partials algebraically. Find the linearization (or first-order Taylor polynomial) of a function at a given
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