JEE Main 2020 Mathematics question

The function is

• (A)both continuous and differentiable on R – {1}.
• (B)Both continuous and differentiable on R – {–1}.
• (C)continuous on R –{1} and differentiable on R – {–1, 1}.Correct
• (D)continuous on R – {– 1} and differentiable on R – {–1, 1}.