Find an equation of the tangent line to the graph of y=9* at the point (-1,9). 01) y=9_(x+1) 9 9 ○ 2) y = 9(1-1n(9)(x+1)) ○ 3) y = 9(1-1n(9)(x-1)) ○ 4) y = 9(1+1n(9)(x+1)) 5) None of the above.

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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I am also not sure about this one, because the answer I get isn't listed, but I don't know if my math is just wrong.

**Problem Statement:**

Find an equation of the tangent line to the graph of \( y = 9^{-x} \) at the point \((-1, 9)\).

**Options:**

1) \( y = 9 - \frac{(x+1) \ln 9}{9} \)

2) \( y = 9(1 - \ln(9)(x+1)) \)

3) \( y = 9(1 - \ln(9)(x-1)) \)

4) \( y = 9(1 + \ln(9)(x+1)) \)

5) None of the above.
Transcribed Image Text:**Problem Statement:** Find an equation of the tangent line to the graph of \( y = 9^{-x} \) at the point \((-1, 9)\). **Options:** 1) \( y = 9 - \frac{(x+1) \ln 9}{9} \) 2) \( y = 9(1 - \ln(9)(x+1)) \) 3) \( y = 9(1 - \ln(9)(x-1)) \) 4) \( y = 9(1 + \ln(9)(x+1)) \) 5) None of the above.
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