Given h(x, y, z) = 4Vx+ ln (y² + z²+1). (a) Find the directional derivative of h at the point (1,0, –1) along the direction of (-1,2, 2). (b) Suppose x = et y = tant z = t3 – t – 1 dh when t = 0. dt Use the general chain rule to find

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Given h(x, y, z) = 4/x+ In (y² + z²+ 1).
(a) Find the directional derivative of h at the point (1,0, –1) along the direction of (-1,2, 2).
(b) Suppose
x = el
y = tant
z = t3 – t – 1
dh
when t = 0.
dt
Use the general chain rule to find
Transcribed Image Text:Given h(x, y, z) = 4/x+ In (y² + z²+ 1). (a) Find the directional derivative of h at the point (1,0, –1) along the direction of (-1,2, 2). (b) Suppose x = el y = tant z = t3 – t – 1 dh when t = 0. dt Use the general chain rule to find
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