A student takes the derivative of the function f(x) = as follows: d 1 d 2()-(x)--(~)--22 dx dx -1/2-1 1 Do you agree or disagree with this student? If you agree, write a complete sentence explaining why. If you disagree, identify an error the student made and correct it.
A student takes the derivative of the function f(x) = as follows: d 1 d 2()-(x)--(~)--22 dx dx -1/2-1 1 Do you agree or disagree with this student? If you agree, write a complete sentence explaining why. If you disagree, identify an error the student made and correct it.
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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![A student takes the derivative of the function \( f(x) = \frac{1}{\sqrt{x}} \) as follows:
\[
\frac{d}{dx} \left( \frac{1}{\sqrt{x}} \right) = \frac{d}{dx} \left( x^{-\frac{1}{2}} \right) = -\frac{1}{2} \left( x^{-\frac{1}{2} - 1} \right) = -\frac{1}{2} x^{-\frac{3}{2}}
\]
Do you agree or disagree with this student? If you agree, write a complete sentence explaining why. If you disagree, identify an error the student made and correct it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2a18af-6188-482f-813a-e68f87e43dd9%2F4915fa25-fe69-443b-afc0-27806838f2fa%2Ft7q07ie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A student takes the derivative of the function \( f(x) = \frac{1}{\sqrt{x}} \) as follows:
\[
\frac{d}{dx} \left( \frac{1}{\sqrt{x}} \right) = \frac{d}{dx} \left( x^{-\frac{1}{2}} \right) = -\frac{1}{2} \left( x^{-\frac{1}{2} - 1} \right) = -\frac{1}{2} x^{-\frac{3}{2}}
\]
Do you agree or disagree with this student? If you agree, write a complete sentence explaining why. If you disagree, identify an error the student made and correct it.
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