Edexcel C1 2014 June — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

8. $$\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { - \frac { 1 } { 2 } } + x \sqrt { } x , \quad x > 0$$ Given that \(y = 37\) at \(x = 4\), find \(y\) in terms of \(x\), giving each term in its simplest form.