SPM 2018 Add Maths Paper 2, Question 6Differentiation
Solved on video in English and Bahasa Melayu · 6 marks · Form 5, Differentiation · 6:38 video
The question
Diagram 4 shows the front view of a part of a roller coaster track in a miniature park. The curve part of the track of the roller coaster is represented by an equation y = (1/64)x³ − (3/16)x², with point P as the origin. Find the shortest vertical distance, in m, from the track to ground level.
[6 marks]
6:38Step 1
The lowest point of the track is a minimum of the curve, so differentiate: y = (1/64)x³ − (3/16)x² gives dy/dx = (3/64)x² − (3/8)x.
5 more steps, each with the reason for it, in the full solution
Final answer
1 m
Where students lose marks
Watch out: y = −4 is only the dip below P. Subtract 4 from P's 5 m height to get 1 m.
Watch every step of this question solved on video (6:38), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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