The curve ƒ(x) = x¹ − 25x² + 8 has a horizontal tangent at which of the following points

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...
Question
The curve \( f(x) = x^4 - 25x^2 + 8 \) has a horizontal tangent at which of the following points?
Transcribed Image Text:The curve \( f(x) = x^4 - 25x^2 + 8 \) has a horizontal tangent at which of the following points?
Expert Solution
Step 1

To get  point at which the tangent line is horizontal, we put  slope of the function is 0 because a horizontal line has slope 0

Given curve f(x)=x⁴-25x²+8

To get slope we calculate f'(x)

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