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2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +

2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +

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
The equation of the line tangent to \( f(x) = \frac{2x + 3}{x + 3} \) at \( x = -2 \) is \[ y = 3x + \boxed{2} \]
Transcribed Image Text:The equation of the line tangent to \( f(x) = \frac{2x + 3}{x + 3} \) at \( x = -2 \) is \[ y = 3x + \boxed{2} \]
Expert Solution
Step 1

Given that function fx=2x+3x+3  To find equation of line of tangent at x=-2solutiony=fxfx=2x+3x+3at x=-2y=2-2+3-2+3y=-1dydx=2x+3-2x+3x+32dydx=3x+32at x=-2dydx=3-2+32=3

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