8. Let z = F(x, y) be differentiable at (a, b) with Fy (a, b) -I- 0,

Question:

8. Let z = F(x, y) be differentiable at

(a,

b) with Fy

(a,

b) -I- 0, and let I be an open interval containing

a. Prove that if f : 1-+ R is differentiable at

a, f

(a) = b, and F(x, f(x)) = ° for all x E I, then of df --(a,b)

(a) = ~a~x _ dx ~:

(a, b)

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 20, 2024 05:02 AM

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8. Let z = F(x, y) be differentiable at (a, b) with Fy (a, b) -I- 0,

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An Introduction To Analysis

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