Find the derivative of \(f(x, y, z) = x^3 - xy^2 - z\) , at… – BIT Basic Mathematics 2078 Solved

BIT Basic Mathematics · 2078 · Solved Question with Answer

Find the derivative of \(f(x, y, z) = x^3 - xy^2 - z\), at point \(P(1, 1, 0)\) in the direction of \(v = 2i - 3j + 6k\).

Solution

Find the derivative of \(f(x, y, z) = x^3 - xy^2 - z\) , at point \(P(1, 1, 0)\) in the direction of \(v = 2i - 3j + 6k\) .