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Let f be a function of two variables that has continuous partial derivatives and consider the points  A(5, 2),  B(13, 2),  C(5, 13), and D(14, 14). The directional derivative of f at A in the direction of the vector AB is 4 and the directional derivative at A in the direction of AC is 9.   Find the directional derivative of f at A in the direction of the vector  AD.

Let f be a function of two variables that has continuous partial derivatives and consider the points  A(5, 2),  B(13, 2),  C(5, 13), and D(14, 14). The directional derivative of f at A in the direction of the vector AB is 4 and the directional derivative at A in the direction of AC is 9.   Find the directional derivative of f at A in the direction of the vector  AD.

Calculus For The Life Sciences
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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Let f be a function of two variables that has continuous partial derivatives and consider the points 
A(5, 2),  B(13, 2),  C(5, 13), and D(14, 14). The directional derivative of f at A in the direction of the vector AB is 4 and the directional derivative at A in the direction of AC is 9.
 
Find the directional derivative of f at A in the direction of the vector  AD.
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