Show that (3−x)2x\displaystyle \frac{(3 - \sqrt{x})^2}{\sqrt{x}}x(3−x)2 can be written as 9x−12−6+x12\displaystyle 9x^{-\frac{1}{2}} - 6 + x^{\frac{1}{2}}9x−21−6+x21.
Given that dydx=(3−x)2x\displaystyle \frac{dy}{dx} = \frac{(3 - \sqrt{x})^2}{\sqrt{x}}dxdy=x(3−x)2, x>0x > 0x>0, and that y=23\displaystyle y = \frac{2}{3}y=32 at x=1x = 1x=1, find y y\,y in terms of xxx.
Practise Edexcel A Level Old Maths Differentiation and Integration 1 with exam-style questions for A Level Old Maths. 19 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.