Science:Math Exam Resources/Courses/MATH100 A/December 2023/Question 24
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Question 24 

Let . Calculate the partial derivative . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall: a partial derivative of a multivariable function is the same as taking the derivative of a single variable function where all of the other variables are treated as constants. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. When calculating a partial derivative, all variables, except the one with which the derivative is being taken, are treated as constants. So, let’s calculate! Now, sub in , : And when is an even integer, so we have . 