Differentiate Derivative of outer function Derivative of inner function Differentiation 1. y = sin (2x) cos (2x) 2 2 cos (2x) 2. y = (4t2 – 3t + 2) -2 3. f(x) = (5x4 – 7) 2/3 4. y = (sin 3x)2 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.
Differentiate Derivative of outer function Derivative of inner function Differentiation 1. y = sin (2x) cos (2x) 2 2 cos (2x) 2. y = (4t2 – 3t + 2) -2 3. f(x) = (5x4 – 7) 2/3 4. y = (sin 3x)2 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.
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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Differentiate | Derivative of outer function |
Derivative of inner function |
Differentiation |
1. y = sin (2x) | cos (2x) | 2 | 2 cos (2x) |
2. y = (4t2 – 3t + 2) -2 | |||
3. f(x) = (5x4 – 7) 2/3 | |||
4. y = (sin 3x)2 |
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.
Answer numbers 2, 3, and 4 please
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