Questions from General Calculus


Q: What does it mean to say that the graph of f (

What does it mean to say that the graph of f (x) has an inflection point at x = 2?

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Q: If f (5) = 2, f ‘(5)

If f (5) = 2, f ‘(5) = 3, g(5) = 4, and g’(5) = 1, find h(5) and h’(5), where h(x) = 3f (x) + 2g(x).

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Q: What is the difference between an x-intercept and a zero

What is the difference between an x-intercept and a zero of a function?

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Q: Draw the graph of a function f (x) for which

Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) decreasing and f (x) increasing

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’(x) is positive.

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’(x) is negative.

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’’ (x) is positive.

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’’(x) is negative.

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’ (x) is maximized.

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Q: Refer to the graph in Fig. 3. List the labeled

Refer to the graph in Fig. 3. List the labeled values of x at which the derivative has the stated property. Figure 3: f ’ (x) is minimized.

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