Provide an appropriate response. Suppose that y is a function of u, and that u is itself a function of x. How does one find the derivative of y in terms of x? A) The difference rule: d(y - u) _ dy du dx dx dx B) The product rule: dx d(y u) du dy dx = y + u dx dy du C) The chain rule: dx du dx d(y + u) dx dy du D) The sum rule: %3D dx dx

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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Provide an appropriate response.
Suppose that y is a function of u, and that u is itself a function of x. How does one
find the derivative of y in terms of x?
A) The difference rule:
d(y - u) _ dy du
dx
dx
dx
du
B) The product rule: do u)
= y.
dy
+ u•
dx
dx
dx
dy du
du dx
dy
C) The chain rule:
dx
d(y + u)
dy
du
D) The sum rule:
dx
%3D
dx
dx
Transcribed Image Text:Provide an appropriate response. Suppose that y is a function of u, and that u is itself a function of x. How does one find the derivative of y in terms of x? A) The difference rule: d(y - u) _ dy du dx dx dx du B) The product rule: do u) = y. dy + u• dx dx dx dy du du dx dy C) The chain rule: dx d(y + u) dy du D) The sum rule: dx %3D dx dx
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