Signals and Non-uniform quantization

[Spencer_H]

How do we exactly determine/find the smallest and largest step sizes ∆min and ∆max required/obtained In non-uniform quantization (companding)??

Say we have
an analog message signal V(t) of 2* cos(2*pi*t – pi/4)

V(t) = 2cos(2πt – π/4)

And V is non‐uniformly quantized using A‐law compressor with A=110 and n=7.
What are the smallest and largest step
sizes ∆min and ∆max obtained here in this signal using A-law companding?

Same question with mu-law companding where
μ (mu)= 255.

Assuming that the quantizer is fully
loaded.