63. Witch of Agnesi Let y(+4)= 8 (see figure). dy a. Use implicit differentiation to find dx b. Find equations of all lines tangent to the curve y(+4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. dy dx

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 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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63. Witch of Agnesi Let y (x+4)=8 (see figure).
dy
dx
a. Use implicit differentiation to find
2
b. Find equations of all lines tangent to the curve y(x²+
-4)=8 when y=1.
c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate
d. Verify that the results of parts (a) and (c) are consistent.
y
2,
y(x² + 4) = 8
2
4 X
dy
dx
Transcribed Image Text:63. Witch of Agnesi Let y (x+4)=8 (see figure). dy dx a. Use implicit differentiation to find 2 b. Find equations of all lines tangent to the curve y(x²+ -4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. y 2, y(x² + 4) = 8 2 4 X dy dx
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