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Find dt? -(6t° + 2t – 9

Find dt? -(6t° + 2t – 9

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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### Problem 3 Find the second derivative with respect to \( t \) of the function \( 6t^3 + 2t - 9 \). **Solution Approach:** 1. Differentiate the function \( 6t^3 + 2t - 9 \) with respect to \( t \). 2. Differentiate the result again with respect to \( t \). ### Problem 4 Find the third derivative of the function \( g(x) = e^x \). **Solution Approach:** 1. Differentiate the function \( e^x \) with respect to \( x \) three times. 2. Note that the derivative of \( e^x \) is itself, simplifying this process.
Transcribed Image Text:### Problem 3 Find the second derivative with respect to \( t \) of the function \( 6t^3 + 2t - 9 \). **Solution Approach:** 1. Differentiate the function \( 6t^3 + 2t - 9 \) with respect to \( t \). 2. Differentiate the result again with respect to \( t \). ### Problem 4 Find the third derivative of the function \( g(x) = e^x \). **Solution Approach:** 1. Differentiate the function \( e^x \) with respect to \( x \) three times. 2. Note that the derivative of \( e^x \) is itself, simplifying this process.
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