Maths further pure 2

Question 5a on this paper;
http://pmt.physicsandmathstutor.com/download/Maths/A-level/FP2/Papers-Edexcel/June%202014%20(IAL)%20MA%20-%20F2%20Edexcel.pdf
Why can you go from 2x(dy^3/dx^3) to 2x(2xdy^2/dx^2)?
Thanks

(edited 5 years ago)

Original post by examstudy

Question 5a on this paper;
http://pmt.physicsandmathstutor.com/download/Maths/A-level/FP2/Papers-Edexcel/June%202014%20(IAL)%20MA%20-%20F2%20Edexcel.pdf
Why can you go from 2x(dy^3/dx^3) to 2x(2xdy^2/dx^2)?
Thanks

First line. The two things cancel so you can move the

2x \dfrac{d^2 y}{dx^2}

term to the right hence obtain the equality you're asking about.

Reply 2

examstudy

OP

10

Thank you for replying,
I am talking about the end of the second line on the MS.
Where it is put into the correct form I dont understand how they go from the third order differentiation back to a second order one?

Original post by RDKGames