Add the butter and both sugars to a large mixing bowl and beat with an electric mixer for 2 minutes.
Beat in the egg and vanilla.
Add the flour, baking soda and salt and beat until just combined.
Gently stir in the white chocolate chips and chopped dried apricots.
Drop rounded tablespoons of the cookie dough onto ungreased cookie sheets, 2 inches apart.
Bake for 8-10 minutes or until golden at the edges. Allow the cookies to cool on the cookie sheets for 2 minutes, then gently transfer them to a wire rack to cool completely.