Science:Math Exam Resources/Courses/MATH110/April 2017/Question 01 (b)
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Question 01 (b) |
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Find the equation of the tangent line to the graph of at the point where . |
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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Followed 1(a), find the tangent line formula of at . (If you memorize it, you can just use the formula.) |
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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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. From the part (a), one way to define derivative is slope of tangent line. In order words, the slope of the tangent line of at is . This gives the tangent line formula of at a point as . For and , we have , and from . Therefore, plugging these into the tangent line formula, the tangent line of at is
Answer: |