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...
icon
Related questions
Question

PLEASE ANSWER ALL THE SUBSECTIONS

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
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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning