Explain why or why not Determine whether the following statements are true and give an exp...

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

a. The function f(x) = |2x + 1| is continuous for all x; therefore, it is differentiable for all x.

b. If  then f = g.

c. For any function f, .

d. The value of f′(a) fails to exist only if the curve y = f(x) has a vertical tangent line at x = a.

e. An object can have negative acceleration and increasing speed.