1 answer

(8) Let E C R" and G C R" be open. Suppose that f E G and g G R',

Question:

(8) Let E C R and G C R be open. Suppose that f E G and g G R, so that h = go f : E → R. Prove that if f is differentiable

(8) Let E C R" and G C R" be open. Suppose that f E G and g G R', so that h = go f : E → R. Prove that if f is differentiable at a point x E E, and if g is differentiable at f (x) E G, then the partial derivatives Dihj(x) exist, for all and j - ...., and 7m に! (The subscripts hi. g. fk denote the coordinates of the functions h, g. f relative to the standard bases.)

Answers

Anwes Giuen data function hen h 304 -E let f (r differentiable at o point E 9u diffeaentiable atcx)eG Thes the Compoi te h -

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