Problem 2.62. Let CCR be a convex set and f: C → Rn be continuously differentiable. Furthermore, suppose 0 € C and f(0) = 0. Show that af = [² of (or)rdo, f(x) = x = C. (2.255)

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Chapter2: Second-order Linear Odes
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Problem 2.62. Let CCR2 be a convex set and f: C →→ Rn be
Furthermore, suppose 0 € C and f(0)
0.
continuously differentiable.
Show that
1
f(x) = √²
af
?x
-(ox)xdo,
x = C.
=
(2.255)
Transcribed Image Text:Problem 2.62. Let CCR2 be a convex set and f: C →→ Rn be Furthermore, suppose 0 € C and f(0) 0. continuously differentiable. Show that 1 f(x) = √² af ?x -(ox)xdo, x = C. = (2.255)
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