Answered: What is the directional derivative of…

What is the directional derivative of the function f(x,y) = 2xy- 3y2 at point po= (5,5) in the direction of u = 4i + 3j?

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.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22

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Question

What is the directional derivative of the function f (x,y) 2xy- 3y2 at point po- (5,5) in the
direction of u = 4i + 3j?
a) 3
b) - 2
c) 6
d) – 4
e) -3
f) 2
g) None of them
a
b O
c O
d O
e O
f
g O

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