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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)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 47CR
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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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