2. Find the derivative of the function at $P_0$ in the direction of $u$. $f(x, y) = 6x - 7y$, $P_0 = (7, -2)$, $u = 4i - 3j$
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The gradient of a function f(x, y) is given by the vector ∇f = <∂f/∂x, ∂f/∂y>. In this case, f(x, y) = 6x - 7y, so ∂f/∂x = 6 and ∂f/∂y = -7. Therefore, the gradient of f(x, y) is ∇f = <6, -7>. Show more…
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