$1.$ Voltage Gain:

$$

Assuming the second stage is set for maximum gain $($meaning its output resistance is very low$),$ the voltage gain of the first stage can be calculated using the simplified formula for a common$-$emitter amplifier:

$$

Av$1=-$gmv$1*$Rc$1$

where:

$$ gmv$1=$ Transconductance of Q$1$

$$ Rc$1=$ Collector resistor of Q$1$

or Q$1(2$N$3906),$ gmv$138$ mA$/$V $($assuming typical operating conditions$).$

Rc$1=$R$3+$R$4$

Rc$1=33+22=55$

Therefore, Av$1=38$mAV$55$k$2\mathrm{.}09$M$.$

Second Stage

The maximum voltage gain of the second stage can be calculated using the same formula:

Av$2$max$=$gmv$2$Rc$2$

$$

Explanation:

where:

gmv$2=$ Transconductance of Q$2$

Rc$2=$ Collector resistor of Q$2$

For Q$2(2$N$3,904),$gmv$260$mAV $($assuming typical operating conditions$).$

$$

Rc$2=$R$8+$R$9=47$k$+5$k$=52$k$.$

Therefore,Av$2$max$=60$mAV$52$k$3\mathrm{.}12$M$.2.$ Overall Voltage Gain: Explanation: The overall voltage gain of the two$-$stage amplifier is the product of the individual stages' gains: Av$=$Av$1$Av$2=$