Remember though that when stock price increase the value of a call option increases too. Since the dC in the numerator increases by a larger percentage that the dS in the denominator, delta increases overall. I like to think of it in terms of the graph in Schweser notes that shows the pre-expiration post-expiration payoff of a call option. As stock price increases, the slope of the pre-expiration payoff becomes steeper i.e. delta becomes larger.