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8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

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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Please answer 8,9 and 10 only.

Directions: Complete the table by determining the derivatives of the outer and inner functions of the given functions and finding the differentiation using the Chain Rule. Write your answers on a separate sheet of paper. Differentiate Derivative of Derivative Differentiation of Inner Function Outer Function 1. y = sin(2x) cos (2x) 2 cos (2x) 2. f(x) = Vx2 +1 3. у %3D (5х? — 3х + 1)2 4. f(x) = (5x – 3)² 5. у %3D сos (5х) 6. f(z) = e = e5z²+7z-13 7. y = 4x2 + cot(3x) 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2) -2 10. f(x) = (5x* – 7x)2/3
Transcribed Image Text:Directions: Complete the table by determining the derivatives of the outer and inner functions of the given functions and finding the differentiation using the Chain Rule. Write your answers on a separate sheet of paper. Differentiate Derivative of Derivative Differentiation of Inner Function Outer Function 1. y = sin(2x) cos (2x) 2 cos (2x) 2. f(x) = Vx2 +1 3. у %3D (5х? — 3х + 1)2 4. f(x) = (5x – 3)² 5. у %3D сos (5х) 6. f(z) = e = e5z²+7z-13 7. y = 4x2 + cot(3x) 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2) -2 10. f(x) = (5x* – 7x)2/3
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