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plain how to compute the derivative of r(t) = (f(t).g(t).h(t) oose the correct answer below. A. The derivative of r(t) is the scalar-valued function r'(t) whose value is the dot product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t) • (f(t).g(t).h(t) B. The derivative of r(t) is the vector-valued function r'(t) whose components are the first derivatives of the corresponding components of r(t). In other words, r'(t) = (f't).g'(t).h'(t). C. The derivative of r(t) is the vector-valued function r'(t) whose components are equal to those of r(t). In other words, r'(t) = (f(t).g(t).h(t). D. The derivative of r(t) is the vector-valued function r'(t) defined as the cross product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t)) x (f(t).g(t).h(t)

plain how to compute the derivative of r(t) = (f(t).g(t).h(t) oose the correct answer below. A. The derivative of r(t) is the scalar-valued function r'(t) whose value is the dot product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t) • (f(t).g(t).h(t) B. The derivative of r(t) is the vector-valued function r'(t) whose components are the first derivatives of the corresponding components of r(t). In other words, r'(t) = (f't).g'(t).h'(t). C. The derivative of r(t) is the vector-valued function r'(t) whose components are equal to those of r(t). In other words, r'(t) = (f(t).g(t).h(t). D. The derivative of r(t) is the vector-valued function r'(t) defined as the cross product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t)) x (f(t).g(t).h(t)

Calculus: Early Transcendentals
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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Explain how to compute the derivative of r(t) = (f(t).g(t).h(t). Choose the correct answer below. O A. The derivative of r(t) is the scalar-valued function r'(t) whose value is the dot product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t),h'(t) • (f(t), g(t).h(t). O B. The derivative of r(t) is the vector-valued function r'(t) whose components are the first derivatives of the corresponding components of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t). OC. The derivative of r(t) is the vector-valued function r'(t) whose components are equal to those of r(t). In other words, r'(t) = (f(t).g(t),h(t)). O D. The derivative of r(t) is the vector-valued functionr'(t) defined as the cross product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t),h'(t)) x (f(t).g(t),h(t).
Transcribed Image Text:Explain how to compute the derivative of r(t) = (f(t).g(t).h(t). Choose the correct answer below. O A. The derivative of r(t) is the scalar-valued function r'(t) whose value is the dot product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t),h'(t) • (f(t), g(t).h(t). O B. The derivative of r(t) is the vector-valued function r'(t) whose components are the first derivatives of the corresponding components of r(t). In other words, r'(t) = (f'(t).g'(t).h'(t). OC. The derivative of r(t) is the vector-valued function r'(t) whose components are equal to those of r(t). In other words, r'(t) = (f(t).g(t),h(t)). O D. The derivative of r(t) is the vector-valued functionr'(t) defined as the cross product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t),h'(t)) x (f(t).g(t),h(t).
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