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Math
Calculus
University Calculus
Chapter 3.7, Problem 66E
Chapter 3.7, Problem 66E
BUY
University Calculus
4th Edition
ISBN:
9780135164846
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas, Jr., Przemyslaw Bogacki
Publisher:
PEARSON
expand_less
1 Functions
2 Limits And Continuity
3 Derivatives
4 Applications Of Derivatives
5 Integrals
6 Applications Of Definite Integrals
7 Integrals And Transcendental Functions
8 Techniques Of Integration
9 Infinite Sequences And Series
10 Parametric Equations And Polar Coordinates
A Appendix
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3.1 Tangent Lines And The Derivative At A Point
3.2 The Derivative As A Function
3.3 Differentiation Rules
3.4 The Derivative As A Rate Of Change
3.5 Derivatives Of Trigonometric Functions
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives Of Inverse Functions And Logarithms
3.9 Inverse Trigonometric Functions
3.10 Related Rates
3.11 Linearization And Differentials
Chapter Questions
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Problem 1E
Problem 2E: Use implicit differentiation to find dy/dx in Exercises 1-16. 2.
Problem 3E
Problem 4E: Use implicit differentiation to find dy/dx in Exercises 1-16. x3xy+y3=1
Problem 5E: Use implicit differentiation to find dy/dx in Exercises 1-16. 5.
Problem 6E: Use implicit differentiation to find dy/dx in Exercises 1-16. (3xy+7)2=6y
Problem 7E: Use implicit differentiation to find dy/dx in Exercises 1-16. 7.
Problem 8E: Use implicit differentiation to find dy/dx in Exercises 1-16. 8.
Problem 9E: Use implicit differentiation to find dy/dx in Exercises 1-16. 9.
Problem 10E: Use implicit differentiation to find dy/dx in Exercises 1-16. 10.
Problem 11E: Use implicit differentiation to find dy/dx in Exercises 1-16. 11.
Problem 12E: Use implicit differentiation to find dy/dx in Exercises 1-16. 12.
Problem 13E: Use implicit differentiation to find dy/dx in Exercises 1-16. 13.
Problem 14E: Use implicit differentiation to find dy/dx in Exercises 1-16. 14.
Problem 15E: Use implicit differentiation to find dy/dx in Exercises 1-16. 15.
Problem 16E: Use implicit differentiation to find dy/dx in Exercises 1-16. ex2y=2x+2y
Problem 17E: Find in Exercises 17-20. 17.
Problem 18E: Find in Exercises 17-20. 18.
Problem 19E: Find dr/d in Exercises 17-20. sin(r)=12
Problem 20E
Problem 21E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then d2y/dx2....
Problem 22E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then . Write...
Problem 23E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then . Write...
Problem 24E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then . Write...
Problem 25E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then d2y/dx2....
Problem 26E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then d2y/dx2....
Problem 27E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then d2y/dx2....
Problem 28E: Second Derivatives In Exercises 21-28, use implicit differentiation to find dy/dx and then . Write...
Problem 29E: 29. If find the value of at the point (2, 2).
Problem 30E: 30. If find the value of at the point (0, -1).
Problem 31E: In Exercises 31 and 32, find the slope of the curve at the given points. 31. at and .
Problem 32E: In Exercises 31 and 32, find the slope of the curve at the given points. (x2+y2)2=(xy)2 at (1, 0)...
Problem 33E
Problem 34E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 35E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 36E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 37E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 38E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 39E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 40E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 41E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 42E: Slopes, Tangent Lines, and Normal Lines In Exercises 33-42, verify that the given point is on the...
Problem 43E: 43. Parallel tangent lines Find the two points where the curve crosses the x-axis, and show that the...
Problem 44E: 44. Normal lines parallel to a line Find the normal lines to the curve that are parallel to the...
Problem 45E: 45. The eight curve Find the slopes of the curve at the two points shown here.
Problem 46E: The cissoids of Diocles (from about 200 B.C.) Find equations for the tangent line and normal line to...
Problem 47E: The devils curve (Gabriel Cramer, 1750) Find the slopes of the devils curve y44y2=x49x2 at the four...
Problem 48E: 48. The folium of Descartes (See Figure 3.29) a. Find the slope of the folium of Descartes at the...
Problem 49E: 49. Intersecting normal line The line that is normal to the curve at intersects the curve at what...
Problem 50E: Power rule for rational exponents Let p and q be integers with q0. If y=xp/q, differentiate the...
Problem 51E: 51. Normal lines to a parabola Show that if it is possible to draw three normal lines from the point...
Problem 52E: Is there anything special about the tangent lines to the curves y2=x3 and 2x2+3y2=5 at the points...
Problem 53E: 53. Verify that the following pairs of curves meet orthogonally. a. b.
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
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