Given that f(x) = 2e -e". Find f'(In2), simplifying your answer as far as possible. %3D dy

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

Solve Q3 explaining detailly each step

dy and dy
I. a) Differentiation:
1. i) Given that g(x)
find g'(x)
ii) Given that f(x) = x"
tanx
x* , find f'(x).
iii) Given that x 1+t.y 2t- 1, find in terms of t,
dx
dx
2. i) Find, from first principle the derivative of x' with respect to x.
ii) Given that x e", y e"+2, show that
d'y
in terms of x.
dx?
when t is 0 and find
dx
3. Given that f(x) = 2e-e. Find f'(In2), simplifying your answer as far as possible.
%3D
dy
4. Find
when
dx
tanx
a. y=e, giving your answer as a function of y.
b. y In(xvx2-1), x> 1
sinx-cosx
c. y=
giving your answer as a function of y.
sinx+cosx
52
Transcribed Image Text:dy and dy I. a) Differentiation: 1. i) Given that g(x) find g'(x) ii) Given that f(x) = x" tanx x* , find f'(x). iii) Given that x 1+t.y 2t- 1, find in terms of t, dx dx 2. i) Find, from first principle the derivative of x' with respect to x. ii) Given that x e", y e"+2, show that d'y in terms of x. dx? when t is 0 and find dx 3. Given that f(x) = 2e-e. Find f'(In2), simplifying your answer as far as possible. %3D dy 4. Find when dx tanx a. y=e, giving your answer as a function of y. b. y In(xvx2-1), x> 1 sinx-cosx c. y= giving your answer as a function of y. sinx+cosx 52
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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