1. a) If ø(x) ø(a)-ø(b) 1+ø(a)ø(b) = tanx, show that ø(a-b) %3D b) Determine the value of the following limits: 1 1 I. sinx tanx 1+3x 1-X I. c) Find the differential coefficient of the following functions w.r.t. x: (x²+1)tantan 3x -x I. tantan sinsin 2x 1 Inln coscOS I.
1. a) If ø(x) ø(a)-ø(b) 1+ø(a)ø(b) = tanx, show that ø(a-b) %3D b) Determine the value of the following limits: 1 1 I. sinx tanx 1+3x 1-X I. c) Find the differential coefficient of the following functions w.r.t. x: (x²+1)tantan 3x -x I. tantan sinsin 2x 1 Inln coscOS I.
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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PLEASE ANSWER ALL THE SUBSECTIONS
Transcribed Image Text:1. a)
If ø(x) = tanx, show that ø(a-b) =
ø(a)-ø(b)
1+ø(a)ø(b)
b)
Determine the value of the following limits:
1
I.
sinx tanx'
1
1+3x
1-x
I.
Find the differential coefficient of the following functions w.r.t. x:
(x²+1)tantan 3x -x
I.
tantan sinsin 2x
1
I.
InIn coscoS
sinsin x
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