Exponential & Log Function Derivatives

Applications of Exponential & Log Function Derivatives

2. The charge across a capacitor at any time t is given by:

                    q = e-0.02t(0.05cos 2t)

    Find the current in the circuit.

        Remember that i = dq/dt.

        Use the Product Rule:

        i = dq/dt = e-0.02t(-0.05sin 2t)(2) + (-0.02e-0.02t(0.05cos 2t)

        i = -e-0.02t(0.1sin 2t + 0.05 cos2t)

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