Full file at https://testbankuniv.eu/Calculus-Several-Variables-Canadian-8th-Edition-Adams-Test-Bank Calculus: A Complete Course, 8e Chapter 2: Differentiation 9) Which of the following statements is always true? A) If f is continuous at c, then it must be differentiable at c. B) If f is differentiable at c, then it must be continuous at c. C) If f is not differentiable at c, then it must be discontinuous at c. D) If f(c + h) = f(c), then f must be differentiable at c. E) All of the above Answer: B Diff: 2 10) Calculate the value of
dy dx
at x = 2 if y =
.
A) 1 B) C) -1 D) E) Answer: C Diff: 2 11) Calculate the derivative of the given function at the point x = 2. f(x) = A) 23 B) 76 C) -23 D) -43 E) 1 Answer: D Diff: 2 12) There are lines that pass through the point (-1, 3) and are tangent to the curve xy = 1. Find all their slopes. A) -1 and -9 B) -1 and 9 C) 1 and 9 D) 1 and -9 E) none of the above Answer: A Diff: 2
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