Science:Math Exam Resources/Courses/MATH102/December 2015/Question 17
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Question 17 |
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Use implicit differentiation to calculate the derivative of . No points will be given for simply stating the answer. Your answer should be in terms of and should not include any trig functions. |
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 |
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is equivalent with . Apply implicit differentiation on this. |
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.
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. By the Hint, we apply the implicit differentiation on . Taking the derivative with respect to on both side of the equation,
Therefore, the derivative is . |