Questions from General Calculus


Q: Differentiate. y = 3 3√(2x2 + 1)

Differentiate. y = 3 3√(2x2 + 1)

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Q: Explain how to calculate f ‘(2) as the limit of

Explain how to calculate f ‘(2) as the limit of slopes of secant lines through the point (2, f (2)).

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Q: In your own words, explain the meaning of lim x→

In your own words, explain the meaning of lim x→2 f (x) = 3. Give an example of a function with this property.

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Q: Give the limit definition of f ‘(2), that is,

Give the limit definition of f ‘(2), that is, the slope of f (x) at the point (2, f (2)).

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Q: In your own words, explain the meaning of lim x→∞

In your own words, explain the meaning of lim x→∞ f (x) = 3. Give an example of such a function f (x). Do the same for lim x→∞ f (x) = 3.

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Q: In your own words, explain the meaning of “ f (

In your own words, explain the meaning of “ f (x) is continuous at x = 2.” Give an example of a function f (x) that is not continuous at x = 2.

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Q: In your own words, explain the meaning of “ f (

In your own words, explain the meaning of “ f (x) is differentiable at x = 2.” Give an example of a function f (x) that is not differentiable at x = 2.

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Q: State the general power rule and give an example.

State the general power rule and give an example.

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Q: Give two different notations for the first derivative of f (x

Give two different notations for the first derivative of f (x) at x = 2. Do the same for the second derivative.

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Q: What is meant by the average rate of change of a function

What is meant by the average rate of change of a function over an interval?

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