Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the derivative h'(3, —2) if få(54, −8) = −2 and ƒÂ(54, −8) = 1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let h = fog where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (−3x²y, y — 2x). Find the
derivative h'(3,-2) if ƒä(54, −8) = −2 and fy(54, −8) = 1.
h'(3, − 2) = [
Find the following:
hx(3, − 2) =
hy (3,-2) =
Transcribed Image Text:Let h = fog where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (−3x²y, y — 2x). Find the derivative h'(3,-2) if ƒä(54, −8) = −2 and fy(54, −8) = 1. h'(3, − 2) = [ Find the following: hx(3, − 2) = hy (3,-2) =
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