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

Find all points on the graph of at which the tangent line has slope 15. 
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 

The slope of the tangent line is the value of the 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 slope of the tangent line is the value of the derivative. The derivative is
Solving , gives the solutions and . (The algebra for this problem is given below) or . 