Edexcel C4 2011 January — Question 2

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2011
SessionJanuary
TopicExponential 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.