Search over 10,000 free study notes

Take u = 1+3x² , this gives that y = u^1/3 . By the chain rule we have that dy/dx = dy/du * du/dx. By differentiating y = u^1/3 with respect to u giv...

Integration by parts formula is given in all A level maths formula books however would be of use to memorise Formula: INT(uv')dx= uv- INT(u'v)dx Hint: write lnx as (1).lnxlet u=lnxhence u' = du/dx = 1/x l...

With a question like this. Firstly you have to read it, of course. But more importantly you have to understand what it is asking of you. So it is asking to find the area with boundaries at x=2 and the y a...

For a proof via contradiction, you would start by assuming the statement is actually false¹ (even if the given statement seems inherent...

dy/dx = 9x^2 - 12x + 2