Answer to Question #276979 in Calculus for 78675

Question

The gain of an amplifier is found to be G = 20 log(10Vout) Determine equations for: dG dVout d2G dVout?

Answer 1

a)

$dG/dV{out}=20\cdot1\cdot10/(10V_{out}ln10)=20/(V_{out}ln10)$

b)

$d^2G/dV_{out}^2=(−20d(V_{out}ln10)/dV_{out})/(V_{out}ln10)^2=$

$=−20ln10/((ln10)^2V_{out}^2)=−20/(V_{out}^2ln10)$