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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Question
Find dy/dx
![The equation displayed is:
\[ x^2 \tan\left(\frac{1}{2}y\right) = \ln y \]
### Explanation:
- \( x^2 \) represents the square of \( x \).
- \( \tan\left(\frac{1}{2}y\right) \) involves the tangent function, with its argument being half of \( y \).
- \( \ln y \) represents the natural logarithm of \( y \).
This equation involves both trigonometric and logarithmic functions, which are commonly encountered in advanced mathematics courses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdec6af38-3348-4b7d-979b-f3d453210b87%2Fc46df431-00a9-4037-a271-bd988c5eeafd%2Ft5av4x8_processed.png&w=3840&q=75)
Transcribed Image Text:The equation displayed is:
\[ x^2 \tan\left(\frac{1}{2}y\right) = \ln y \]
### Explanation:
- \( x^2 \) represents the square of \( x \).
- \( \tan\left(\frac{1}{2}y\right) \) involves the tangent function, with its argument being half of \( y \).
- \( \ln y \) represents the natural logarithm of \( y \).
This equation involves both trigonometric and logarithmic functions, which are commonly encountered in advanced mathematics courses.
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