Calculate the directional derivative of given function

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Reference no: EM131015818

Let f(x, y. z) = x2 + xy + yz.

a. Calculate Delta (f)(l. 2,5).

b. Calculate the directional derivative of f in the direction of <1, -2, 3> at the point (1, 2, 5) (In notation: Dv(f)(1, 2, 5)).

c. Find a vector v such that Dv(f)(1, 2, 5) = 0.

d. Find a vector w such that dc(f)(1, 2, 5) has largest value. what is this largest w?

e. Find a vector p such that Dp(f)(1, 2, 5) has smallest value. What is this smallest w?

Reference no: EM131015818

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