Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = , f(x) is not differentiable at
B. Since limx?1+ f '(x) = while limx?1- f '(x) = 2, f(x) is not differentiable at
C. Since limx?1+ f '(x) = while limx?1- f '(x) = 1, f(x) is not differentiable at
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at
Answer: B
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Solve for x.625x = 3,125
A.
B.
C.
D.
Find the exponential function that satisfies the given conditions.Initial population = 30,848, increasing at a rate of 3% per year
A. P(t) = 30,848 ? 1.03t B. P(t) = 3 ? 30,848t C. P(t) = 30,848 ? 0.03t D. P(t) = 30,848 ? 3t
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A.
B. 9
C.
D. x2 + 9
Determine whether f is continuous at c.f(x) = ;c = 2
A. continuous B. not continuous