Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+ 1), h(0) = 0, and k(0) = 1. Let w(x) = f(h(x)) and f(x) = f(k(x)). Find (a) w' (0). (b) r'(0).
Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+ 1), h(0) = 0, and k(0) = 1. Let w(x) = f(h(x)) and f(x) = f(k(x)). Find (a) w' (0). (b) r'(0).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let f(x) = sin(xx). Suppose that h and k are two functions such that
H (x) = cos(xx), k'(x) = f(x+ 1), h(0) = 0, and k(0) = 1.
Let w(x) = f(h(x)) and 1(x) = f(k(x)). Find
(a) w' (0).
(b) t' (0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc812df14-d853-4ecf-b04a-3a0f54708e96%2F971a5786-bd32-41de-906f-a205ea6f0bb3%2Fexe02ff_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = sin(xx). Suppose that h and k are two functions such that
H (x) = cos(xx), k'(x) = f(x+ 1), h(0) = 0, and k(0) = 1.
Let w(x) = f(h(x)) and 1(x) = f(k(x)). Find
(a) w' (0).
(b) t' (0).
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