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If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y = est²-2. (10t) y' = e¹0t y = 10et et y=elot (5t² - 2)

If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y = est²-2. (10t) y' = e¹0t y = 10et et y=elot (5t² - 2)

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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If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y = e5t²-2. (10t) y' = e10t y = 10et et y=e¹0t. (5t² - 2)
Transcribed Image Text:If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y = e5t²-2. (10t) y' = e10t y = 10et et y=e¹0t. (5t² - 2)
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