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Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of...

Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of the function.

(b) Find the directional derivative of the function at the point P(π/2,π/6) in the direction of the vector

v = <sqrt(3), −1>  

(c) Compute the unit vector in the direction of the steepest ascent at A (π/2,π/2)

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