Exercises. Find the derivative of y with respect to x. Use the given relation in its implicit form. 1. x2 + y2 = a2. 2. x2 + 4y2 = 4ay. 3. x2 + 4xy +y2 = 1. 4. ( x + y )2 = 2ay. 5. x^1⁄2 + y^1⁄2 = a^1⁄2. 6. (x2 - y2)2 = 4ay3. 7. (x2 + y2)2 = ay3. 8. If x = t3 - 3t2, find dt/dx . 9. If z2 - 2zy + 3y2 = 4, find dz/dy. 10. (x - y)2 = 2ax
Exercises. Find the derivative of y with respect to x. Use the given relation in its implicit form. 1. x2 + y2 = a2. 2. x2 + 4y2 = 4ay. 3. x2 + 4xy +y2 = 1. 4. ( x + y )2 = 2ay. 5. x^1⁄2 + y^1⁄2 = a^1⁄2. 6. (x2 - y2)2 = 4ay3. 7. (x2 + y2)2 = ay3. 8. If x = t3 - 3t2, find dt/dx . 9. If z2 - 2zy + 3y2 = 4, find dz/dy. 10. (x - y)2 = 2ax
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercises. Find the derivative of y with respect to x. Use the given relation in its implicit form.
1. x2 + y2 = a2.
2. x2 + 4y2 = 4ay.
3. x2 + 4xy +y2 = 1.
4. ( x + y )2 = 2ay.
5. x^1⁄2 + y^1⁄2 = a^1⁄2.
6. (x2 - y2)2 = 4ay3.
7. (x2 + y2)2 = ay3.
8. If x = t3 - 3t2, find dt/dx .
9. If z2 - 2zy + 3y2 = 4, find dz/dy.
10. (x - y)2 = 2ax.
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