Using the formulaf(x + th) – f(x)f'(x) = limh-0and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) · h, where:f:R3 – R3, defined by f (x, y, z) = (x², y²,1+ y+ z²), z = (1,0,0), h = (1,1,1)

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Answered: Using the formula f'(x) = lim h→0 f(x +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Using the formula f'(x) = lim h→0 f(x + th)-f(x) t and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) . h, where: f: R³ → R³, defined by f(x, y, z) = (x², y², 1+y+z²), z = = (1,0,0), h= (1,1,1)