After Kolo Toure canceled out Nenad Milijas' opener for Wolves, City went 4-1 ahead in the second half through Tevez's double and Yaya Toure's strike.
But Kevin Doyle and Ronald Zubar gave City a scare by reducing the deficit.
While City went a point ahead of United, its neighbor plays the first of three games in hand at Tottenham on Sunday.
Tottenham was dislodged from fourth place _ temporarily at least _ by Chelsea beating Blackburn 2-0 to halt a two-match winless streak.
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