Find the equation of the tangent line to the curve y = x³e7 at the point (1, e7). O y = 20e7x - 19e7 O y = 14e7x - 13e7 Oy=17e7x - 16e7 Oy=16e7 x - 15e7 O y = 15e7x - 14e7

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...
Question
**Problem Statement:**

Find the equation of the tangent line to the curve \( y = x^8 e^{7x} \) at the point \( (1, e^7) \).

**Options:**

- \( \circ \, y = 20e^7x - 19e^7 \)
- \( \circ \, y = 14e^7x - 13e^7 \)
- \( \circ \, y = 17e^7x - 16e^7 \)
- \( \circ \, y = 16e^7x - 15e^7 \)
- \( \circ \, y = 15e^7x - 14e^7 \)
Transcribed Image Text:**Problem Statement:** Find the equation of the tangent line to the curve \( y = x^8 e^{7x} \) at the point \( (1, e^7) \). **Options:** - \( \circ \, y = 20e^7x - 19e^7 \) - \( \circ \, y = 14e^7x - 13e^7 \) - \( \circ \, y = 17e^7x - 16e^7 \) - \( \circ \, y = 16e^7x - 15e^7 \) - \( \circ \, y = 15e^7x - 14e^7 \)
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