Differentiation - Derivative as an Instantaneous Rate of Change

Differentiation - Derivative as an Instantaneous Rate of Change

Given that \(A=\frac{3}{2}\pi t^2+\pi t+2t\), find the rate of change of \(A\) with respect to \(t\) when \(t=2\), leaving your answer in term of \(\pi\).

Solution:

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Answer:\(7\pi+2\).

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