Let c be a point in the interval I and suppose . Mark each statement True or False. Justify each answer. (a) The derivative of f at c is defined by wherever the limit exists. (b) If f is continuous at...

Let c be a point in the interval I and suppose
. Mark each statement True or False. Justify each answer.

(a) The derivative of f at c is defined by

wherever the limit exists.

(b) If f is continuous at c, then f is differentiable at c.

(c) If f is differentiable at c, then f is continuous at c.