there is a typo; it should be x^2sin(1/x) instead of xsin(1/x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
there is a typo; it should be x^2sin(1/x) instead of xsin(1/x).
Consider the following function,
1.
2.
f(x) =
+) = (x Nin (²)
derivatives.
if x # 0
if x = 0
Prove that the function f is differentiable at x = 0 using the definition of
Find the formula of the derivative, f'(x) for x = 0, using any differentiation
rules you have learned in this course. Indicate clearly which rules are used in your
computation.
Transcribed Image Text:Consider the following function, 1. 2. f(x) = +) = (x Nin (²) derivatives. if x # 0 if x = 0 Prove that the function f is differentiable at x = 0 using the definition of Find the formula of the derivative, f'(x) for x = 0, using any differentiation rules you have learned in this course. Indicate clearly which rules are used in your computation.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,