一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co, yo) in the direction If Vf(xo, Yo) 7 0, then among all unit vectors u, the one that yields the largest directional derivative Daf(xo, Yo) is (Of "Ox)f A Suppose that z is implicitly defined as a differentiable function of X and y through equation F(x, y, 2) = k, where k is a constant. Then we have F(x, y, z) F(x, y, z) F,(x, Y, z) F.(r, y, z) pue (P) also differentiable functions, then If z = f(x, y) is a differentiable function and x = g(t) and y = h(t) are dz dx Əz dy Əx dt ap fie The domain of function f (x, y) = e?cos(x+5y) is R?. Its range is [1/e, e]. 33 EEFE OCVIDO

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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一站
Page
> of 3
2.
(b)
of nonzero vector v is
The directional derivative off (x, y) at the point (co, yo) in the direction
If Vf(xo, Yo) 7 0, then among all unit vectors u, the one that yields the largest
directional derivative Daf(xo, Yo) is
(Of "Ox)f A
Suppose that z is implicitly defined as a differentiable function of X
and y through equation
F(x, y, 2) = k,
where k is a constant. Then we have
F(x, y, z)
F(x, y, z)
F,(x, Y, z)
F.(r, y, z)
pue
(P)
also differentiable functions, then
If z = f(x, y) is a differentiable function and x = g(t) and y = h(t) are
dz dx
Əz dy
Əx dt
ap fie
The domain of function
f (x, y) = e?cos(x+5y)
is R?. Its range is [1/e, e].
33
EEFE
OCVIDO
Transcribed Image Text:一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co, yo) in the direction If Vf(xo, Yo) 7 0, then among all unit vectors u, the one that yields the largest directional derivative Daf(xo, Yo) is (Of "Ox)f A Suppose that z is implicitly defined as a differentiable function of X and y through equation F(x, y, 2) = k, where k is a constant. Then we have F(x, y, z) F(x, y, z) F,(x, Y, z) F.(r, y, z) pue (P) also differentiable functions, then If z = f(x, y) is a differentiable function and x = g(t) and y = h(t) are dz dx Əz dy Əx dt ap fie The domain of function f (x, y) = e?cos(x+5y) is R?. Its range is [1/e, e]. 33 EEFE OCVIDO
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