Consider the function f:R3→R defined as f(x, y, z) = xy + yz + zx + x^3 + y^3 + z^3. If the unit direction of the steepest ascent of f at (1,0,1) is (a,b,c), then find the value of a + 2b + c.
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Q1
10 May 2026
Mathematics 2 · Week 10
Q1.Consider the function f:R3→R defined as f(x, y, z) = xy + yz + zx + x^3 + y^3 + z^3. If the unit direction of the steepest ascent of f at (1,0,1) is (a,b,c), then find the value of a + 2b + c.
