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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98955d5b-0f56-441c-9a7d-870dfcd904bf%2F58869121-2f7e-4055-90ae-f96a56b147e2%2Fy9ktuma_processed.png&w=3840&q=75)
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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