Suppose I have a sphere x²+y²+z²=a². Now (I assume) that the directional derivatives in any direction will always be the same. Hence there will be a gradient but it will be same in all directions. Is this right to say this or am I totally wrong?
2026-05-05 08:47:33.1777970853
Will the directional derivatives for a symmetrical surface always be the same?
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