SPM 2019 Add Maths Paper 2, Question 4Differentiation

Solved on video in English and Bahasa Melayu · 8 marks · Form 5, Differentiation · 6:23 video

The question

Diagram 2 shows the curve y = 4x - x² and tangent to the curve at point Q passes point P. (a) Show that h = 3. (b) Calculate the area of the shaded region.

[8 marks]

SPM 2019 Add Maths Paper 2, Question 4: the question as drawn in Eduly's video6:23

Step 1

Q = (h, 4h - h² since Q lies on the curve y = 4x - x².

10 more steps, each with the reason for it, in the full solution

Final answer

(a) h = 3 (shown); (b) 1/3 unit²

Where students lose marks

Watch out: signs when expanding (4 − 2h)(2 − h), and in (b) subtract the curve's area from the trapezium (x = 2 to 3).

Watch every step of this question solved on video (6:23), with the reason behind each step and a box that checks your own answer.

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