(a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. differentiate from first principles (where be R). r2+62 r²+a² dy (b) Using suitable differentiation laws, find if y = / (where a, b e R). (c) The parametric equations of a curve a given by r= te-t and y = 2t2 + 1 where t is a parameter, find dy i. dr d?y ii. dr

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) With the use of a suitable limit, find the first differential of Vr² +b² with
respect to r i.e. differentiate from first principles (where be R).
dy
ar2+62
(b) Using suitable differentiation laws, find if y = V2 (where a, b e R).
(c) The parametric equations of a curve a given by r= tet and y = 2t² + 1
where t is a parameter, find
dy
i.
dr
ii. Jr?
Transcribed Image Text:(a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. differentiate from first principles (where be R). dy ar2+62 (b) Using suitable differentiation laws, find if y = V2 (where a, b e R). (c) The parametric equations of a curve a given by r= tet and y = 2t² + 1 where t is a parameter, find dy i. dr ii. Jr?
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