f (x, y) is a differentiable function with Vf(4,3) = 7i+ 5j. 2. Suppose w = (a) Find the directional derivative of f at the point (4, 3) in the direction of the vector 3i + 2j. (b) For w = f(x, y), x = 6s tan? (t) and y = s2 + 10 sin(t), find Ət |(s,t)=(2,7/6)

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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2. Suppose w = f(x, y) is a differentiable function with Vf(4,3) = 7i+ 5j.
(a) Find the directional derivative of f at the point (4, 3) in the direction of the
vector 3i + 2j.
(b) For w = f(x, y), x =
6s tan? (t) and y =
s² + 10 sin(t),
find
|(s,t)=(2,7/6)
Transcribed Image Text:2. Suppose w = f(x, y) is a differentiable function with Vf(4,3) = 7i+ 5j. (a) Find the directional derivative of f at the point (4, 3) in the direction of the vector 3i + 2j. (b) For w = f(x, y), x = 6s tan? (t) and y = s² + 10 sin(t), find |(s,t)=(2,7/6)
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