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Let f be continuous on [a, b], and let a, ß: [c, d] → [a, b] be differentiable functions. [B(x) f(t)dt. Socke On [c, d], define F(x) Show that F is differentiable and compute F'(x). =

Let f be continuous on [a, b], and let a, ß: [c, d] → [a, b] be differentiable functions. [B(x) f(t)dt. Socke On [c, d], define F(x) Show that F is differentiable and compute F'(x). =

Advanced Engineering Mathematics
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 be continuous on [a, b], and let a, ß: [c, d] → [a, b] be differentiable functions. On [c, d], define F(x):= f(x) f(t)dt. Show that F is differentiable and compute F'(x).
Transcribed Image Text:Let f be continuous on [a, b], and let a, ß: [c, d] → [a, b] be differentiable functions. On [c, d], define F(x):= f(x) f(t)dt. Show that F is differentiable and compute F'(x).
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