Find the gradient of f(x, y)?

Question

Find the gradient of f(x, y)=2e^4x/y-2x at (2, -1).

Answer: <-8e^-8-2, -16e^-8>

Step by step, I really don't know this completely.

Answer 1

f = 2[e^(4x/y)] - 2x

∂f/∂x = (8/y)[e^(4x/y)] - 2 = -8e^-8 - 2, at (2, -1)

∂f/∂y = -2(4x/y^2)e^(4x/y) = -16e^-8, at (2, -1)

Answer: ∇f = <∂f/∂x, ∂f/∂y> = <-8e^-8 - 2, -16e^-8>

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Attn: Use parenthesis correctly to avoid ambiguity.