| Exam Board | OCR MEI |
|---|
| Module | C2 (Core Mathematics 2) |
|---|
| Year | 2007 |
|---|
| Session | June |
|---|
| Topic | Differentiation Applications |
|---|
| Type | Find second derivative |
|---|
2 Given that \(y = 6 x ^ { \frac { 3 } { 2 } }\), find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
Show, without using a calculator, that when \(x = 36\) the value of \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\) is \(\frac { 3 } { 4 }\).