Questions from General Calculus


Q: g(x) = f(x) + 6

g(x) = f(x) + 6 The relationship between f and g is given. Explain the relationship between f′ and g′.

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Q: The relationship between f and g is given. Explain the relationship

The relationship between f and g is given. Explain the relationship between f′ and g′. g(x) = 2 f(x)

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Q: The relationship between f and g is given. Explain the relationship

The relationship between f and g is given. Explain the relationship between f′ and g′. g(x) = −5 f(x)

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Q: g(x) = 3 f(x) − 1

g(x) = 3 f(x) − 1 The relationship between f and g is given. Explain the relationship between f′ and g′.

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

The graphs of a function f and its derivative f′ are shown on the same set of coordinate axes. Label the graphs as f or f′ and write a short paragraph stating the c...

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

The graphs of a function f and its derivative f′ are shown on the same set of coordinate axes. Label the graphs as f or f′ and write a short paragraph stating the c...

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Q: Sketch the graph of a function f such that f′ >

Sketch the graph of a function f such that f′ > 0 for all x and the rate of change of the function is decreasing.

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Q: Use the graph of f to answer each question. To print

Use the graph of f to answer each question. To print an enlarged copy of the graph, go to MathGraphs.com. (a) Between which two consecutive points is the average rate of change of the function grea...

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Q: Find the derivative of the function. /

Find the derivative of the function.

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Q: Sketch the graphs of y = x2 and y = −x2

Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both graphs. Find equations of these lines.

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