Question 1

Find the derivative of the function.  &#10;

Accepted Answer

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Question 2

Find the derivative of the function.   = 3 sin x + 9x - 9&#10;A) -3 sin x + 9&#10;B) 3 cos x + 9&#10;C) 3 sin x + 9&#10;D) -3 cos x + 9

Accepted Answer

3 cos x + 9

Question 3

Find an equation of the tangent line to the curve   at the point  &#10;

Accepted Answer

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Question 4

Find the limit.  &#10;

Accepted Answer

The answer of Find the limit.  &#10;...

Question 5

Find the given derivative by finding the first few derivatives and observing the pattern that occurs.  &#10;A)  &#10;B)  &#10;C)  &#10;D)  &#10;E) None of these

Accepted Answer

This question is asking you to use the pattern of the first few derivatives to find the given derivative. Unfortunately, the given function is not provided, so we cannot list out the derivatives explicitly. However, we can still examine the pattern of derivatives and make an educated guess.

One thing to note is that the pattern of letters and numbers following each other is consistent throughout the answer choices, so we can assume that the derivative will have the same pattern. Also, notice that the last two numbers in each answer choice are increasing by 1, suggesting that the derivative is at least a second-order derivative.

Examining the answer choices more closely, we see that choice D has the pattern of increasing the last number by 1 at every step, which suggests that the derivative is a fourth-order derivative. Therefore, D is the best choice.

Question 6

Differentiate.  &#10;

Accepted Answer

The answer of Differentiate.  &#10;...

Deck 2: Extension C: Limits and Derivatives