Let f be a function defined on R. For every unit vector u in R, let...

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Let f be a function defined on R. For every unit vector u in R, let g.(t) = f(t u). Suppose every g, has a local %3! minimum at i = 0. Does / have a local minimum at (0,0) ? Let f be a function defined on R. For every unit vector u in R, let g.(t) = f(t u). Suppose every g, has a local %3! minimum at i = 0. Does / have a local minimum at (0,0) ?