AP Calculus BC : AP Calculus BC

Study concepts, example questions & explanations for AP Calculus BC

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Example Questions

Example Question #64 : Functions, Graphs, And Limits

Asymptoteplot

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Example Question #5 : Asymptotic And Unbounded Behavior

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Example Question #1 : Identifying Asymptotes Graphically

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Example Question #1 : Identifying Asymptotes Graphically

Asymptoteplot

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Example Question #1 : Identifying Asymptotes Graphically

Asymptoteplot

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Explanation:

Example Question #1 : Identifying Asymptotes Graphically

Asymptoteplot

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Correct answer:

Explanation:

Example Question #1 : Identifying Asymptotes Graphically

Asymptoteplot

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Correct answer:

Explanation:

Example Question #71 : Functions, Graphs, And Limits

Asymptoteplot

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Example Question #72 : Functions, Graphs, And Limits

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Example Question #1 : Derivatives

Over which of the following intervals is the following function concave upward?

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{}

{}

{}

f(x) is never concave upward.

Correct answer:

{}

Explanation:

In order to determine the concavity of a function, we need to examine its second derivative. 

First, we will take the derivative of the function by applying the product rule.

We will then take the derivative of the first derivative. Again, we will employ the product rule.

A funciton is concave upward whenever its second derivative is positive. Thus, we must find the interval over which f''(x) is positive.

This will only be true when . However, keep in mind that the domain of f(x) will include only positive values of x, because lnx is only defined for x > 0. 

The answer is { }.

 

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