Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx = y (6x2 - 6x + 1)(1+ 2x) Find the value of = dx when x 1. dy dx Write the equation of the tangent line to the graph of y = (6x² - 6x + 1)(1 + 2x) at x = 1. Check the reasonableness of your answer by graphing both the function and the tangent line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Consider the following.
Find the value of y when x = 1.
y(1) =
Find
dy
dx
dy
dx
dy
dx
=
y = (6x² - 6x + 1)(1 + 2x)
dy
Find the value of when x = 1.
dx
=
Write the equation of the tangent line to the graph of y = (6x² - 6x + 1)(1 + 2x) at x = 1. Check the reasonableness of your answer by graphing both the function and the tangent line.
Transcribed Image Text:Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx dy dx = y = (6x² - 6x + 1)(1 + 2x) dy Find the value of when x = 1. dx = Write the equation of the tangent line to the graph of y = (6x² - 6x + 1)(1 + 2x) at x = 1. Check the reasonableness of your answer by graphing both the function and the tangent line.
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