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If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 2. -

If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 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
**Problem Statement:** If \( f(x) = 2x^2 + 4x + 9 \), find the equation of the line tangent at \( x = -2 \). **Input Box:** [Blank input box] **Preview Button:** [Button labeled "Preview"]
Transcribed Image Text:**Problem Statement:** If \( f(x) = 2x^2 + 4x + 9 \), find the equation of the line tangent at \( x = -2 \). **Input Box:** [Blank input box] **Preview Button:** [Button labeled "Preview"]
Expert Solution
Step 1

To find equation of the tangent line we need slope and y intercept of the line. 

Slope of the tangent is equal to the value of the derivative at the point.

Since we want to find the equation of the tangent at x= —2, put x=—2 in f(x) so we will get the point at which we want to find the tangent.

 

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