Find the gradient of . Evaluate the gradient at the point . Find the rate of change of at in the direction of the vector f(x, y)= x/y , P(3,0)
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The gradient of a function f(x, y) is given by the partial derivatives of f with respect to x and y. So, for f(x, y) = x/y, the gradient is given by: ∇f = (∂f/∂x, ∂f/∂y) Taking the partial derivatives: ∂f/∂x = 1/y ∂f/∂y = -x/y^2 Therefore, the gradient of Show more…
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