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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