Using the formulaf(x + th) – f(x)f'(x) = limand admitting the existence of the derivatives of the functions considered here. Calculate f'(z)·h, where:a. f:R³ → R², defined by f (x, y, z) = (x² + y,x + y + z?), z = (1,1,2), h = (1,1,2)%3D

a) f:R3→R2 defined by fx,y,z=x2+y , x+y+z2 also given z=1,1,2 , h1,1,2 using the formula…

Answered: Using the formula f(x+th)-f(x) t 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+th)-f(x) t f'(x)= lim: h→0 and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) . h, where: a. f: R³ → R², defined by f(x, y, z) = (x² + y,x+y+z²), z = (1,1,2), h = (1,1,2)