Given that 2x2−x32x\displaystyle \frac{2x^2 - x^{\frac{3}{2}}}{\sqrt{x}}x2x2−x23 can be written in the form 2xp−xq2x^p - x^q2xp−xq,
write down the value of p p\,p and the value of qqq.
Given that y=5x4−3+2x2−x32x\displaystyle y = 5x^4 - 3 + \frac{2x^2 - x^{\frac{3}{2}}}{\sqrt{x}}y=5x4−3+x2x2−x23, find dydx\displaystyle \frac{dy}{dx}dxdy, simplifying the coefficient of each term.
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.