0606 P13 - Nov 2017 - Q8 - 8 marks
8644
It is given that \(y=(x-4)(3x-1)^{\frac53}\).
(i) Show that \(\dfrac{dy}{dx}=(3x-1)^{\frac23}(Ax+B)\), where \(A\) and \(B\) are constants to be found.
(ii) Hence find, in terms of \(h\), the approximate change in \(y\) when \(x\) increases from \(3\) to \(3+h\), where \(h\) is small.
Solutions locked. Please sign in with access to view them.