Let c be a point in the interval I and suppose f : I → . Mark each statement True or False. Justify each answer. (a) If f is differentiable at c, then for any k ∈ , k f is differentiable at c. (b)...

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

(a) If f is differentiable at c, then for any k ∈
, k f is differentiable at c.

(b) Suppose g : I →
. If f and g are differentiable at c, then f + g is differentiable at c.

(c) Suppose g : I →
. If f and g are differentiable at c, then g o f is differentiable at c.