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1/3 > Example 2. Find dI/dx if I = t2 dt. Вy (12.8) we get IP dr 1 .-2/3 1 22/3 . d.r 3 3 We could also integrate first and then differentiate with respect to x: 43 2/3 1/3 1-" Pa= IP 1 I = t?dt = 3' d.r This last method seems so simple you may wonder why we need (12.8). Look at another cxamplc.

1/3 > Example 2. Find dI/dx if I = t2 dt. Вy (12.8) we get IP dr 1 .-2/3 1 22/3 . d.r 3 3 We could also integrate first and then differentiate with respect to x: 43 2/3 1/3 1-" Pa= IP 1 I = t?dt = 3' d.r This last method seems so simple you may wonder why we need (12.8). Look at another cxamplc.

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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1/3 > Example 2. Find dI/dx if I = t2 dt. Вy (12.8) we get IP dr 1 .-2/3 1 22/3 . d.r 3 3 We could also integrate first and then differentiate with respect to x: 43 2/3 1/3 1-" Pa= IP 1 I = t?dt = 3' d.r This last method seems so simple you may wonder why we need (12.8). Look at another cxamplc.
Transcribed Image Text:1/3 > Example 2. Find dI/dx if I = t2 dt. Вy (12.8) we get IP dr 1 .-2/3 1 22/3 . d.r 3 3 We could also integrate first and then differentiate with respect to x: 43 2/3 1/3 1-" Pa= IP 1 I = t?dt = 3' d.r This last method seems so simple you may wonder why we need (12.8). Look at another cxamplc.
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