Question Detail
Question
If \( \frac{dW}{dt} = \frac{1}{25}(W - 300) \), find \( \frac{d^2W}{dt^2} \) in terms of \( W \).
Correct Answer
Option A is the correct answer.
Detailed Explanation
( \frac{d^2W}{dt^2} = \frac{d}{dt}[ \frac{1}{25}(W - 300) ] = \frac{1}{25} \frac{dW}{dt} = \frac{1}{25} \cdot [\frac{1}{25}(W - 300)] = \frac{1}{625}(W - 300) ).
Hint
Apply the chain rule to differentiate the first derivative with respect to time.