| Exam Board | Edexcel |
| Module | C4 (Core Mathematics 4) |
| Year | 2011 |
| Session | January |
| Topic | Exponential Functions |
2. The current, \(I\) amps, in an electric circuit at time \(t\) seconds is given by
$$I = 16 - 16 ( 0.5 ) ^ { t } , \quad t \geqslant 0$$
Use differentiation to find the value of \(\frac { \mathrm { d } I } { \mathrm {~d} t }\) when \(t = 3\).
Give your answer in the form \(\ln a\), where \(a\) is a constant.