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35. (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (–1, }). %3D (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

35. (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (–1, }). %3D (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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图 in two ways: multiplication 25. f(x) 26. f(x) %3D 27-30 Find f'(x) and f"(x). 27. f(x) = x*e* plifying 29. f(x) = 30. f(x) method do 1+ 2x 31-32 Find an equation of the tangent line to the given curve at the specified point. x² - 1 2 31. y = |(1, 0) 32. y =, (1, e) || || 33-34 Find equations of the tangent line and normal line to the tangent given curve at the specified point. 33. y = 2xe*, (0, 0) 34. y = (1, 1) x² + 1' 35. (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (–1,}). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. 20 C 35. (a) The curve y = x/(1 + x²) is called a serpentine. Find an equation of the tangent line to this curve at the point (3,0.3). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. 37. (a) If f(x) = (x³ – x)e*, find f'(x). (b) Check to see that your answer to part (a) is reasonable y comparing the graphs of f and f'. - %3D 38. (a) If f(r) = e*/(?r?
Transcribed Image Text:图 in two ways: multiplication 25. f(x) 26. f(x) %3D 27-30 Find f'(x) and f"(x). 27. f(x) = x*e* plifying 29. f(x) = 30. f(x) method do 1+ 2x 31-32 Find an equation of the tangent line to the given curve at the specified point. x² - 1 2 31. y = |(1, 0) 32. y =, (1, e) || || 33-34 Find equations of the tangent line and normal line to the tangent given curve at the specified point. 33. y = 2xe*, (0, 0) 34. y = (1, 1) x² + 1' 35. (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line to this curve at the point (–1,}). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. 20 C 35. (a) The curve y = x/(1 + x²) is called a serpentine. Find an equation of the tangent line to this curve at the point (3,0.3). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. 37. (a) If f(x) = (x³ – x)e*, find f'(x). (b) Check to see that your answer to part (a) is reasonable y comparing the graphs of f and f'. - %3D 38. (a) If f(r) = e*/(?r?
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Calculus For The Life Sciences
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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