Science:Math Exam Resources/Courses/MATH110/December 2011/Question 08 (b)
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Question 08 (b) 

Let , where a and b are constant. (b) Now suppose that . Find the equation of the tangent line in this case. 
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 

If a = 0, just plug that in to see what the problem becomes. 
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. If a = 0, then the curve we are looking at is the curve which is simply a horizontal line at the height b^{7} and so its tangent line is itself, that is, the line y = b^{7}. 