Using derivatives, the rate of change of the mineral level with respect to time for 4 days is -0.012 mg/cm².
<h3>What is the missing information?</h3>The function for the amount is missing, and is given by:
The problems asks for the rate of change of the mineral level with respect to time for 4 days.
<h3>What is the rate of change after 4 days?</h3>The rate of change after 4 days is given by:
C'(4).
Applying the chain rule, the derivative of C(t) is given as follows:
When t = 4, we have that:
Applying properties of exponents, we have that:
Hence:
C'(4) = -0.012.
The rate of change of the mineral level with respect to time for 4 days is -0.012 mg/cm².
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