Differential Input Resistance:

The Differential input resistance can be defined as equivalent resistance which would be measured at either input terminal with other terminal grounded. This means that input resistance Ri1 seen from input signal source v₁ can be determined with the signal source v₂ set at zero. Similarly, the input signal v₁  is fixed at zero to determine input resistance R_i2 seen from the input signal source v₂. The resistance R_S1 and R_S2 are ignored due to their very small.

Substituting i_e1,

Likewise,

The factor of 2 arises because the r_e' of each transistor is in series.

To get very high input impedance with differential amplifier is to use Darlington transistors. Another ways is to use FET.

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