(a) Find y' by solving the equation for y and d (b) Find y' by implicit differentiation. (c) Check that the derivatives in (a) and (b) ar 1. =D1 2. z² + y³ = 4

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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For problems 1- 3 do each of the following.
(a) Find y' by solving the equation for y and differentiating directly.
(b) Find y' by implicit differentiation.
(c) Check that the derivatives in (a) and (b) are the same.
1.
2. z + y* = 4
3. z? + y? = 2
4. 2y3 + 4x? – y = x°
5. 4x²y" – 2x = x° + 4y³
Transcribed Image Text:For problems 1- 3 do each of the following. (a) Find y' by solving the equation for y and differentiating directly. (b) Find y' by implicit differentiation. (c) Check that the derivatives in (a) and (b) are the same. 1. 2. z + y* = 4 3. z? + y? = 2 4. 2y3 + 4x? – y = x° 5. 4x²y" – 2x = x° + 4y³
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