Date | May 2019 | Marks available | 4 | Reference code | 19M.2.AHL.TZ1.H_1 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 1 |
Command term | Find | Question number | H_1 | Adapted from | N/A |
Question
Let be the tangent to the curve at the point (1, ).
Find the coordinates of the point where meets the -axis.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
METHOD 1
equation of tangent is OR (M1)(A1)
meets the -axis when
meets -axis at (0.667, 0) A1A1
Note: Award A1 for or seen and A1 for coordinates (, 0) given.
METHOD 1
Attempt to differentiate (M1)
when , (M1)
equation of the tangent is
meets -axis at
A1A1
Note: Award A1 for or seen and A1 for coordinates (, 0) given.
[4 marks]