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X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate (i) f(g(x)), and directly from this (ii) {f(g(x))}. dx and g(x) = x² + 1. (c) Calculate (i) f'(g(x)), and then (ii) g'(x) · ƒ'(g(x)). (d) Why should the results from parts (b)(ii) and (c)(ii) be equal?

X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate (i) f(g(x)), and directly from this (ii) {f(g(x))}. dx and g(x) = x² + 1. (c) Calculate (i) f'(g(x)), and then (ii) g'(x) · ƒ'(g(x)). (d) Why should the results from parts (b)(ii) and (c)(ii) be equal?

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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can you please help me with part b , c and d of the question . can you please provide explanations

X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate (i) f(g(x)), and directly from this (ii) {f(g(x))}. dx and g(x) = x² + 1. (c) Calculate (i) f'(g(x)), and then (ii) g'(x) · ƒ'(g(x)). (d) Why should the results from parts (b)(ii) and (c)(ii) be equal?
Transcribed Image Text:X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate (i) f(g(x)), and directly from this (ii) {f(g(x))}. dx and g(x) = x² + 1. (c) Calculate (i) f'(g(x)), and then (ii) g'(x) · ƒ'(g(x)). (d) Why should the results from parts (b)(ii) and (c)(ii) be equal?
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