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Let y = (cos(2x))* A) Use Logarithmic Differentiation to find dy dx dy dx B) Find the equation of the tangent line at x = F/6 ㅠ

Let y = (cos(2x))* A) Use Logarithmic Differentiation to find dy dx dy dx B) Find the equation of the tangent line at x = F/6 ㅠ

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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C) Is your answer to (B) actually tangent to y=(cos(2x))x?


To check your answers above:
1. Go to Desmos.com and graph y=(cos(2x))x.

2. Graph your answer to part (B) Is the line tangent to the graph?

**Problem Statement:** Let \( y = (\cos(2x))^x \) **A) Use Logarithmic Differentiation to find \(\frac{dy}{dx}\)** \[ \frac{dy}{dx} = \boxed{\phantom{placeholder}} \] **B) Find the equation of the tangent line at \( x = \frac{\pi}{6} \).**
Transcribed Image Text:**Problem Statement:** Let \( y = (\cos(2x))^x \) **A) Use Logarithmic Differentiation to find \(\frac{dy}{dx}\)** \[ \frac{dy}{dx} = \boxed{\phantom{placeholder}} \] **B) Find the equation of the tangent line at \( x = \frac{\pi}{6} \).**
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