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Using the formula f(x+th)-f(x) f'(x) = lim h→0 and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) . h, where: a. f: R² → R², defined by f(x, y) = (x + y, x² + y²), z = (1,1), h = (2,3)

Using the formula f(x+th)-f(x) f'(x) = lim h→0 and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) . h, where: a. f: R² → R², defined by f(x, y) = (x + y, x² + y²), z = (1,1), h = (2,3)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Using the formula f (x + th) – f(x) f'(x) = lim h-0 and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) · h, where: a. f:R? → R², defined by f (x, y) = (x + y,x² + y²), z = (1,1), h = (2,3)
Transcribed Image Text:Using the formula f (x + th) – f(x) f'(x) = lim h-0 and admitting the existence of the derivatives of the functions considered here. Calculate f'(z) · h, where: a. f:R? → R², defined by f (x, y) = (x + y,x² + y²), z = (1,1), h = (2,3)
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