Answer to Question #106609 in Calculus for Jake

Question

The gain of an amplifier is found to be G=20log(10Vout):
The tasks are to find equations for :
A. dG/dVout
B. d^2G/dVout^2

Answer 1

$\frac{\partial G}{\partial Vout}=\frac{20}{ln10*Vout}, \frac{\partial^2 G}{\partial^2 Vout} =\frac{-20}{ln10}*\frac{1}{Vout^2}$