curve sketching and the first derivative · thus caution is advisable with curve sketching. we need...

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Curve Sketching and the First Derivative © CEMC and University of Waterloo Page 1 of 12

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Page 1: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

Curve Sketching and the First Derivative

© CEMC and University of Waterloo Page 1 of 12

Page 2: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 2 of 12

Page 3: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 3 of 12

Page 4: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 4 of 12

Page 5: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 5 of 12

Page 6: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 6 of 12

Page 7: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 7 of 12

Page 8: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 8 of 12

Page 9: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 9 of 12

Page 10: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 10 of 12

Page 11: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 11 of 12

Page 12: Curve Sketching and the First Derivative · Thus caution is advisable with curve sketching. We need the methods of calculus to analyze f(x) first and to generate a sketch of y = f(x)

© CEMC and University of Waterloo Page 12 of 12

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