Assume that f is a Cn+1 functional on a convex set S. For fixed x0 S and

Assume that f is a Cn+1 functional on a convex set S. For fixed x0 ˆˆ S and x ˆˆ S - x0, define g: „œ †’ S by g(t) = x0 + tx. Show that the composite function h = f ˆ˜ g: „œ †’ „œ is Cn+1 with derivatives

Transcribed Image Text:

(k) h)(1) = D)f[g(t)](x)*) (X)