Solve the problem.As a radioactive sample disintegrates, the "parent" atoms are converted into "daughter" atoms. The number of daughter atoms D(t) that have been formed by a particular time t is given by 
where D(t) is the number of daughters, Po is the initial number of parent atoms, k is the decay rate constant in units of s-1, and t is in seconds. Find an expression for the rate of change of D with respect to time.
A. D'(t) = kPoe-kt
B. D'(t) = -kPoe-kt
C. D'(t) = kPoe-kt - 1
D. D'(t) = Po + Poe-kt
Answer: A
Mathematics
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