Find the directional derivative of
at
To calculate: The directional derivative of the function
Answer to Problem 1P
Solution:
The directional derivative of the function
Explanation of Solution
Given:
The function
Formula used:
The directional derivative of a function f is given by,
Where,
Calculation:
Consider the function,
Partially differentiate the above function with respect to x,
Now, partially differentiate the function with respect to y,
The direction is
Thus, the directional derivative of a function f is given by,
Substitute the values
Hence, the directional derivative of the function
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Chapter 14 Solutions
Numerical Methods For Engineers, 7 Ed
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