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.
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