Problem 1: Constructing new functions from old ones and calculating the derivative of the new function from the derivatives of the old functions:From the table below calculate the quantities asked for:x−2−46−4−130−16f(x)−16−194716−130−4394128−8206g(x)−4−95176−46−2179972−3826f′(x)2512697971014011537g′(x)762553950439735(fg)′(−2) =Problem 2: Suppose f(u)=tan(u) and g(x)=x4. Find the following.f(g(x))f′(g(x))= (f∘g)′(x)=

To solve the following problem on composition of functions

Answered: derivative of the new function from the…

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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Problem 1: Constructing new functions from old ones and calculating the derivative of the new function from the derivatives of the old functions:
From the table below calculate the quantities asked for:

x	−2	−46	−4	−130	−16
f(x)	−16	−194716	−130	−4394128	−8206
g(x)	−4	−95176	−46	−2179972	−3826
f′(x)	25	12697	97	101401	1537
g′(x)	7	6255	39	50439	735