14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x f: x→ 0, x = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
icon
Related questions
Question

14 pls

14. Discuss the differentiability at x = 0 of the function
1
x sin -,
x = 0,
x
4.1. The Derivative in R¹
fix →
0,
f:x→
x = 0.
15. Discuss the differentiability at x = 0 of the function
1
x" sin-
X
x = 0,
93
0,
x = 0,
where n is an integer larger than 1. For what values of k, does the kth derivative
exist at x = 0? (See Problem 12.)
Transcribed Image Text:14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative in R¹ fix → 0, f:x→ x = 0. 15. Discuss the differentiability at x = 0 of the function 1 x" sin- X x = 0, 93 0, x = 0, where n is an integer larger than 1. For what values of k, does the kth derivative exist at x = 0? (See Problem 12.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,