Let represent the amount

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Let A(t)=200e0.06tA(t)=200e^{0.06 t} represent the amount, in milligrams, of a substance after tt days. What is A′(4)A'(4), the instantaneous rate of change of the amount at t=4t=4 days? (Units: mg/day) (a) 254 mg/day254\text{ mg/day} (b) 12 mg/day12\text{ mg/day} (c) 15.3 mg/day15.3\text{ mg/day} (d) 61.0 mg/day61.0\text{ mg/day}

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