V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x – 2)7 ; apply the chain rule 1 2. h(x) = apply the the power rule and chain rule (3x²+1)2' dy 3. Find . y3 +y² – 5y – x² -4 using implicit differentiation. = dx 4-5. Find dx2 d²y y2 = x2 + 2x using implicit differentiation.
V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x – 2)7 ; apply the chain rule 1 2. h(x) = apply the the power rule and chain rule (3x²+1)2' dy 3. Find . y3 +y² – 5y – x² -4 using implicit differentiation. = dx 4-5. Find dx2 d²y y2 = x2 + 2x using implicit differentiation.
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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Question
![V.
Evaluate the following using the chain rule and implicit differentiation.
1. h(x) = (2x + 1)5(3x – 2)7 ; apply the chain rule
1
2. h(x) =
apply the the power rule and chain rule
(3x²+1)2'
dy
3. Find . y3 +y² – 5y – x²
-4 using implicit differentiation.
=
dx
4-5. Find
dx2
d?y
y2 = x2 + 2x using implicit differentiation.
%3|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3216ee58-164e-4b81-b528-04a6823b498a%2F4e15f7b1-0350-4b3a-b260-f40f04e92af3%2Fqekaqof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:V.
Evaluate the following using the chain rule and implicit differentiation.
1. h(x) = (2x + 1)5(3x – 2)7 ; apply the chain rule
1
2. h(x) =
apply the the power rule and chain rule
(3x²+1)2'
dy
3. Find . y3 +y² – 5y – x²
-4 using implicit differentiation.
=
dx
4-5. Find
dx2
d?y
y2 = x2 + 2x using implicit differentiation.
%3|
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