Using implicit differentiation evaluate dy/dx, where y? + 2 ln y = 5x² + 7, and note that your result will be a function of both z and y.

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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Using implicit differentiation evaluate dy/dx, where
y² + 2 ln y = 5æ² + 7,
and note that your result will be a function of both x and y.
A note about syntax. To input 53y into NUMBAS, you simply enter 5y. On the other hand, to enter xy you should write x*y, since otherwise NUMBAS will
not recognise x and y as distinct variables which are being multiplied. (Notice how NUMBAS renders xy and x*y differently, indicating the different
ways it interprets these expressions.)
Transcribed Image Text:Using implicit differentiation evaluate dy/dx, where y² + 2 ln y = 5æ² + 7, and note that your result will be a function of both x and y. A note about syntax. To input 53y into NUMBAS, you simply enter 5y. On the other hand, to enter xy you should write x*y, since otherwise NUMBAS will not recognise x and y as distinct variables which are being multiplied. (Notice how NUMBAS renders xy and x*y differently, indicating the different ways it interprets these expressions.)
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