Lesson 14 A. Find the derivative by implicit differentiation. Show your solution. 1. 2x 2y +5 2. x2 + xy2 +y2 1 3. sin x + sin y = x + y?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Lesson 14
A. Find the derivative by implicit differentiation. Show your solution.
1. 2x 2y2 +5
2. x? + xy? + y² = 1
3. sin x + sin y = x? + y?
B. find y' and y"
5x+2
1. y = 3x-7
2. y = (x2 +x + 1)2
C. 1. If f(x) = Vx find,f '(4) and f "(4)
2. Find the slope of the tangent line to the curve 2x +2y 9xy at point (2, 1).
%3D
Transcribed Image Text:Lesson 14 A. Find the derivative by implicit differentiation. Show your solution. 1. 2x 2y2 +5 2. x? + xy? + y² = 1 3. sin x + sin y = x? + y? B. find y' and y" 5x+2 1. y = 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4) 2. Find the slope of the tangent line to the curve 2x +2y 9xy at point (2, 1). %3D
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