dw at t = 6 for the function w(x.y)=e - Inx; x=t, y= In t. Evaluate dt O A. 4 О В. O C. - O D. 2/356

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 Statement:**

Evaluate \(\frac{dw}{dt}\) at \(t = 6\) for the function \(w(x, y) = e^y - \ln x\), where \(x = t^2\) and \(y = \ln t\).

**Options:**

- A. 4
- B. \(\frac{2}{3}\)
- C. \(\frac{5}{6}\)
- D. \(-\frac{2}{3}\)
Transcribed Image Text:**Problem Statement:** Evaluate \(\frac{dw}{dt}\) at \(t = 6\) for the function \(w(x, y) = e^y - \ln x\), where \(x = t^2\) and \(y = \ln t\). **Options:** - A. 4 - B. \(\frac{2}{3}\) - C. \(\frac{5}{6}\) - D. \(-\frac{2}{3}\)
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