Given t(x) = 2x² - x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of derivatives to find t'(x). 3 c. What is the slope of the tangent line at x d. Find the equation of the tangent line to the graph of t(x) at x = 3 answer all please

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
Given t(x) = 2x² − x.
a. Find the point of tangency to the curve at x = 3
b. Use the definition of derivatives to find t'(x).
c. What is the slope of the tangent line at x = 3
d. Find the equation of the tangent line to the graph of t(x) at x = 3
answer all please
Transcribed Image Text:Given t(x) = 2x² − x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of derivatives to find t'(x). c. What is the slope of the tangent line at x = 3 d. Find the equation of the tangent line to the graph of t(x) at x = 3 answer all please
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