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3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in parts a, b and c: a) Develop the identity f(x) then take the derivative. b) View f(x) as (3x² + 1) (3x² + 1) and use the product rule to find f'(x). c) Apply the chain rule directly to the expression f(x) = (3x² + 1)² d) Are your answers in parts a, b, c the same? Why or why not?

3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in parts a, b and c: a) Develop the identity f(x) then take the derivative. b) View f(x) as (3x² + 1) (3x² + 1) and use the product rule to find f'(x). c) Apply the chain rule directly to the expression f(x) = (3x² + 1)² d) Are your answers in parts a, b, c the same? Why or why not?

Calculus: Early Transcendentals
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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Q3 Needed Needed to be solved All part's of Q3 correctly in 30 minutes and get the thumbs up please show neat and clean work for it by hand solution needed for this
3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in parts a, b and c: a) Develop the identity f(x) then take the derivative. b) View f(x) as (3x² + 1)(3x² + 1) and use the product rule to find f'(x). c) Apply the chain rule directly to the expression f(x) = (3x² + 1)². d) Are your answers in parts a, b, c the same? Why or why not? 4. Find for the equation 3y²-cosy = 2³ 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y³ + x²y - x = 65 6. Find for the equation xy²x²y = 2 7. Find f'(x) for the function f(x)=√-3x¹ - 2 8. Find f'(x) for the function f(x) = (5x² + 3)¹ 9. Find f'(x) for the function f(x) = sin² (cos(4x)) 10. Find f'(x) for the following functions: a) f(x) = cos(In4x³)) b) f(x) = e(4x³+5)2
Transcribed Image Text:3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in parts a, b and c: a) Develop the identity f(x) then take the derivative. b) View f(x) as (3x² + 1)(3x² + 1) and use the product rule to find f'(x). c) Apply the chain rule directly to the expression f(x) = (3x² + 1)². d) Are your answers in parts a, b, c the same? Why or why not? 4. Find for the equation 3y²-cosy = 2³ 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y³ + x²y - x = 65 6. Find for the equation xy²x²y = 2 7. Find f'(x) for the function f(x)=√-3x¹ - 2 8. Find f'(x) for the function f(x) = (5x² + 3)¹ 9. Find f'(x) for the function f(x) = sin² (cos(4x)) 10. Find f'(x) for the following functions: a) f(x) = cos(In4x³)) b) f(x) = e(4x³+5)2
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