Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t)) g(3) = 6, g'(3) = -5 h(3) = 7, h'(3) = 8 f (6, 7) = 6, f (6, 7) = 5 Find p'(3). p'(3) =

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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Suppose f is a differentiable function of x and y, and the following applies.
p(t) = f(g(t), h(t))
g(3) = 6,
Find p'(3).
p'(3) =
g'(3) = -5
h(3) = 7,
h'(3) = 8
h'(3)
fx(6, 7) = 6, f,(6, 7) = 5
Transcribed Image Text:Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t)) g(3) = 6, Find p'(3). p'(3) = g'(3) = -5 h(3) = 7, h'(3) = 8 h'(3) fx(6, 7) = 6, f,(6, 7) = 5
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