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dw For the given functions, (a) express as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. dt dw Then (b) evaluate at the given value of t. dt w = 4y ex - In z, x= In (r? + 1), y= tan t, z= e 3 t=1 dw (a) dt dw (b) dt (Type an exact answer, using x as needed.)

dw For the given functions, (a) express as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. dt dw Then (b) evaluate at the given value of t. dt w = 4y ex - In z, x= In (r? + 1), y= tan t, z= e 3 t=1 dw (a) dt dw (b) dt (Type an exact answer, using x as needed.)

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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For the given functions, (a) express dw as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. dw Then (b) evaluate at the given value of t. dt w = 4y ex - In z, x = In (t +1), y= tan -t, z=e 31, t= 1 dw (a) dt dw (b) dt t = 1 (Type an exact answer, using t as needed.)
Transcribed Image Text:For the given functions, (a) express dw as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. dw Then (b) evaluate at the given value of t. dt w = 4y ex - In z, x = In (t +1), y= tan -t, z=e 31, t= 1 dw (a) dt dw (b) dt t = 1 (Type an exact answer, using t as needed.)
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