Warm Up Chapter 2.5 More Implicit Differentiation

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Presentation transcript:

Warm Up Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Warm Up Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Differentiate with respect to x, twice Improper to leave in terms of y’ Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Differentiate each curve with respect to x Check for opp reciprocals at (1,-2) Check for opp reciprocals at (1,2) Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 More Implicit Differentiation 6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. Practice:  Pg. 142 #47-51, 59, 60, (49-51 use desmos app to graph, then verify orthogonality at intersection points by hand). Monday, September 29, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals