Questions from General Calculus


Q: The graph off is given. State, with reasons, the

The graph off is given. State, with reasons, the numbers at which f is not differentiable.

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Q: The graph off is given. State, with reasons, the

The graph off is given. State, with reasons, the numbers at which f is not differentiable.

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Q: The graph off is given. State, with reasons, the

The graph off is given. State, with reasons, the numbers at which f is not differentiable.

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Q: The graph off is given. State, with reasons, the

The graph off is given. State, with reasons, the numbers at which f is not differentiable.

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Q: Graph the function f(x) = x + |x

Graph the function f(x) = x + |x| . Zoom in repeatedly, first toward the point (-1, 0) and then toward the origin. What is different about the behavior of f in the vicinity of these two points? What...

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Q: Zoom in toward the points (1, 0), (0

Zoom in toward the points (1, 0), (0, 1), and (-1, 0) on the graph of the function g(x) = (x2 – 1)2/3. What do you notice? Account for what you see in terms of the differentiability of g.

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Q: Determine the infinite limit. /

Determine the infinite limit.

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Q: The graphs of a function f and its derivative f’ are shown

The graphs of a function f and its derivative f’ are shown. Which is bigger, f’(-1) or f’’(1)?

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Q: The graphs of a function f and its derivative f’ are shown

The graphs of a function f and its derivative f’ are shown. Which is bigger, f’(-1) or f’’(1)?

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Q: The figure shows the graphs of f, f’, and f’’

The figure shows the graphs of f, f’, and f’’. Identify each curve, and explain your choices.

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