Find the derivatives of the function \(f(x, y) = x^3 - xy^2… – BIT Basic Mathematics 2077 Solved

BIT Basic Mathematics · 2077 · Solved Question with Answer

Find the derivatives of the function \(f(x, y) = x^3 - xy^2 + x^2y - y^3\) at \(p_0(5, 5)\) in the direction of \(\vec{u} = 4\vec{t} + 3\vec{j}\).

Solution

Find the derivatives of the function \(f(x, y) = x^3 - xy^2 + x^2y - y^3\) at \(p_0(5, 5)\) in the direction of \(\vec{u} = 4\vec{t} + 3\vec{j}\) .