Question: Given a scalar function 6(x, y, z) directional derivative is given as do = grado . where R is the position vector. Based on

Given a scalar function 6(x, y, z) directional derivative is given as

Given a scalar function 6(x, y, z) directional derivative is given as do = grado . where R is the position vector. Based on this definition: The temperature at each (r, y, z) point in space is given by T(r, y, z) = x2 + 2y? + 2z2. %3D In which direction you should go from the point P(1, 1, 1) to get most rapid decrease in T? Explain based on the definition of directional derivative? What is the directional derivative in this direction? About how far should you go from point P(1, 1, 1) in the direction you found to get a decrease of 0.3?

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