Apply the chain rule to differentiate the following functions. Show your complete solutions and emphasize your final answer. 1. f(x) = (5x³ – 7x² + 2x – 3)ª 2. f(x) = csc (x2 - 3) %3D 4 3. y = 4. y = V5x² – 4 5. f(x) = sin(3x?) cos(3x?)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Apply the chain rule to differentiate the following functions. Show your
complete solutions and emphasize your final answer.
1. f(x) = (5x³ – 7x² + 2x –
:- 3)4
%3D
2. f(x) = csc (x² - 3)
%3D
4
3. у 3D
x²-3,
4. y = V5x² – 4
5. f(x) = sin(3x²) cos(3x²)
%3D
Transcribed Image Text:Apply the chain rule to differentiate the following functions. Show your complete solutions and emphasize your final answer. 1. f(x) = (5x³ – 7x² + 2x – :- 3)4 %3D 2. f(x) = csc (x² - 3) %3D 4 3. у 3D x²-3, 4. y = V5x² – 4 5. f(x) = sin(3x²) cos(3x²) %3D
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