True/False: Indicate whether the following statements are true or false: (a) Every differentiable function is continuous. (b) A function can be continuous but not differentiable at a point. (c) A function with a jump discontinuity cannot be differentiable at that point. (d) A function defined piecewise can have a removable discontinuity. (e) If a function has a corner at a point, the derivative exists at that point