Find the given derivative by finding the first few derivatives and observing the pattern that occurs.
E) None of these

Question

Find the given derivative by finding the first few derivatives and observing the pattern that occurs. 
E) None of these

Quizplus · 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.

Find the Given Derivative by Finding the First Few Derivatives