The Student Room Group

Gradient of Tangent

What does this bit of the question mean and what do I have to do:

'Hence calculate another approximation to the gradient of y = 2x when x = 2.'

Question 6ii: http://pmt.physicsandmathstutor.com/download/Maths/A-level/C2/Topic-Qs/OCR-MEI/C2%20Differentiation%20-%20Basic%201%20QP.pdf

Answer (5ii on mark scheme):
http://pmt.physicsandmathstutor.com/download/Maths/A-level/C2/Topic-Qs/OCR-MEI/C2%20Differentiation%20-%20Basic%201%20MS.pdf
With the y values that you have calculated, you now have two points that you can calculate the gradient from
Reply 2
Original post by GenghisKahn
With the y values that you have calculated, you now have two points that you can calculate the gradient from


I understand but how can I tell from the question
When it says 'calculate another approximation to the gradient of y = 2x when x = 2'
Because it says when x=2
Sorry for the wait - even though it says that you need to find the gradient when x=2, taking a chord between two nearby points is the same thing as doing this - you are approximating the gradient - the closer the points are to 2, the better the approximation.

Quick Reply

Latest