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LFM Pure and Mechanics
Differentiation Applications
Q6
Edexcel C1 2009 January — Question 6
Exam Board
Edexcel
Module
C1 (Core Mathematics 1)
Year
2009
Session
January
Topic
Differentiation Applications
Type
Find derivative of polynomial
Given that \(\frac { 2 x ^ { 2 } - x ^ { \frac { 3 } { 2 } } } { \sqrt { } x }\) can be written in the form \(2 x ^ { p } - x ^ { q }\),
write down the value of \(p\) and the value of \(q\).
Given that \(y = 5 x ^ { 4 } - 3 + \frac { 2 x ^ { 2 } - x ^ { \frac { 3 } { 2 } } } { \sqrt { } x }\),
find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), simplifying the coefficient of each term.
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