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mit_hacker
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Homework Statement
(Q) The derivative of f(x,y) at Po(1,2) in the direction i + j is 2sqrt(2) and in the direction of -2j is -3. What is the derivative of f in the direction of -i - 2j? Give reasons for your answers.
Homework Equations
The directional derivative is given by the formula:
∂f/∂x i+∂f/∂y j
The Attempt at a Solution
You get simultaneous equations when you apply the above equation and you find that
∂f/∂y = 3/2.
And ∂f/∂x = [4sqrt(2) - 3] / 2.
Then applying the dot product of this and -i - 2j, you get [-3-4sqrt(2)] / 2 but the answer is supposed to be -7/sqrt(5). How did they get that??