Find the coordinates of all points where the tangent line to the graph below, given by y2 + cos(x) = 1, is horizontal. %3D 2 -8 -2 -2 You can guess what the answer is from the graph, but you must also show your work!

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 5**

Find the coordinates of all points where the tangent line to the graph below, given by \( y^2 + \cos(x) = 1 \), is horizontal.

[Graph depicting a periodic waveform with several wave peaks and troughs. The graph is plotted against a background grid with x-axis ranging from -8 to 8 and y-axis from -2 to 2. Points are highlighted where waves touch y = ±2 on x-axis intervals of approximately (0, ±3, ±6).]

You can guess what the answer is from the graph, but you must also show your work!
Transcribed Image Text:**Problem 5** Find the coordinates of all points where the tangent line to the graph below, given by \( y^2 + \cos(x) = 1 \), is horizontal. [Graph depicting a periodic waveform with several wave peaks and troughs. The graph is plotted against a background grid with x-axis ranging from -8 to 8 and y-axis from -2 to 2. Points are highlighted where waves touch y = ±2 on x-axis intervals of approximately (0, ±3, ±6).] You can guess what the answer is from the graph, but you must also show your work!
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