Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g)
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Question 01 (g) 

Find all functions whose derivative is . 
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 

What function has derivative ? What function has derivative ? Think about the sum rule for differentiation. What does this tell us about a function which has derivative . 
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. The function has derivative . The function has derivative . Constants have derivative 0. Therefore any function of the form , where is any constant, will have the correct derivative. In order to see this, notice that: . 