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For each of the functions, find the equation of the tangent line at the point x = 1. Then find the formula for f"(x). a. f(x) = 2x³ – x – 6Vx b. f(x) = 5x² +2 %3D c. f(x) = x6 – x-3/2

For each of the functions, find the equation of the tangent line at the point x = 1. Then find the formula for f"(x). a. f(x) = 2x³ – x – 6Vx b. f(x) = 5x² +2 %3D c. f(x) = x6 – x-3/2

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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Question
1) For each of the functions, find the equation of the tangent line at the point x = 1. Then find the formula for f"(x). a. f(x) = 2x3 – x – 6Vx b. f(x) = 5x² +: c. f(x) = x6 – x-3/2 2) A particle moving horizontally has a position function s(t) = ts – 5t* – t. Find v(t) and a(t). On which intervals is a(t) positive, and on which is it negative? 3) Find the derivative of the functions. Make sure to show all work, and explain which
Transcribed Image Text:1) For each of the functions, find the equation of the tangent line at the point x = 1. Then find the formula for f"(x). a. f(x) = 2x3 – x – 6Vx b. f(x) = 5x² +: c. f(x) = x6 – x-3/2 2) A particle moving horizontally has a position function s(t) = ts – 5t* – t. Find v(t) and a(t). On which intervals is a(t) positive, and on which is it negative? 3) Find the derivative of the functions. Make sure to show all work, and explain which
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Step 1

Given

Part A

f(x) = 2x3-x-6x     ...........(1)

We have to find the equation of the tangent line of the curve 1 at x= 1.

 

 

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