Let f(x) = e-3z* . Find f'(x). A) f'(x) = e-6z B) f'(x) = -6xe-3x² C) f'(x) = 6xe-32? D) f'(x) = 2xe 3x? E) f'(x) = –2xe32² F) Answer not listed

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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Given the function \( f(x) = e^{-3x^2} \), find \( f'(x) \).

Options:

A) \( f'(x) = e^{-6x} \)

B) \( f'(x) = -6xe^{-3x^2} \)

C) \( f'(x) = 6xe^{-3x^2} \)

D) \( f'(x) = 2xe^{-3x^2} \)

E) \( f'(x) = -2xe^{-3x^2} \)

F) Answer not listed

The correct answer is option B, which is selected.
Transcribed Image Text:Given the function \( f(x) = e^{-3x^2} \), find \( f'(x) \). Options: A) \( f'(x) = e^{-6x} \) B) \( f'(x) = -6xe^{-3x^2} \) C) \( f'(x) = 6xe^{-3x^2} \) D) \( f'(x) = 2xe^{-3x^2} \) E) \( f'(x) = -2xe^{-3x^2} \) F) Answer not listed The correct answer is option B, which is selected.
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