Answer: Just like the cell is the basic functional unit of life,a gene is the basic functional and physical unit of heredity which are passed on from parents to offsprings and they determine some of the characteristics of the offspring.
The main difference between an induced gene and a derepressed gene is that in induced gene,the inducer is present in the gene Which makes the gene to be expressed because the inducer was able to bind with the repressor and as well disabling the repressor.when the repressor binds to the inducer,it will stop the repressor from clinging to the operator.
In derepressed gene,there is stopping of repression,repression is the term used to explain the mechanism of altering gene expression.when this repression is removed,a gene is said to be derepressed thereby increasing or triggering the expression of such gene.