5. Find F'(x) where F is defined on [0, 1] as follows. (c) F(æ) = | V1+ t³ dt. (d) F(x) = f(t) dt, where f e C[0, 1].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Find F' (x) where F is defined on [0, 1] as follows.
(с) F(*) —
V1+
t3 dt.
(d) F(x)
| f(t) dt, where ƒ € C[0, 1].
r9(x)
7. Suppose f E C[a, b] and g,h : [c, d] → [a, b] are differentiable. For H(x)
= f(t) dt, x E [e, d], find H'(x).
Jh(x)
Transcribed Image Text:5. Find F' (x) where F is defined on [0, 1] as follows. (с) F(*) — V1+ t3 dt. (d) F(x) | f(t) dt, where ƒ € C[0, 1]. r9(x) 7. Suppose f E C[a, b] and g,h : [c, d] → [a, b] are differentiable. For H(x) = f(t) dt, x E [e, d], find H'(x). Jh(x)
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