Consider the following. y = x³ 3x² + 6 Evaluate y when x = 1. y(1) = Find y'. y' = Evaluate y' when x = 1. y'(1) = Write the equation of the tangent line to the curve at x = 1. As a check, graph both the function and the tangent line.
Consider the following. y = x³ 3x² + 6 Evaluate y when x = 1. y(1) = Find y'. y' = Evaluate y' when x = 1. y'(1) = Write the equation of the tangent line to the curve at x = 1. As a check, graph both the function and the tangent line.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Question
![Consider the following.
y = x³ - 3x² + 6
Evaluate y when x = 1.
y(1) =
Find y'.
y' =
Evaluate y' when x = 1.
y'(1) =
Write the equation of the tangent line to the curve at x = 1. As a check, graph both the function and the tangent line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F125111cc-25a5-4f05-886d-ef1bfa459fc8%2F1b0c5e4e-7bf0-472c-8e3f-c00bedf61eba%2Fdc3bc6l_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
y = x³ - 3x² + 6
Evaluate y when x = 1.
y(1) =
Find y'.
y' =
Evaluate y' when x = 1.
y'(1) =
Write the equation of the tangent line to the curve at x = 1. As a check, graph both the function and the tangent line.
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