
<PAGE>

                                                                    Exhibit 24.1
 

                               POWER OF ATTORNEY

  KNOWN ALL MEN BY THESE PRESENTS that each person whose signature appears below
constitutes and appoints Ted H. McCourtney his or her true and lawful attorney-
in-fact and agent, acting alone, with full power of substitution and
resubstitution, for him or her and in his or her name, place and stead, in any
and all capacities, to sign the Schedule 13G, and all amendments thereto, with
all exhibits thereto, and all documents in connection therewith, with respect to
the beneficial ownership by the undersigned of the equity securities of 3Dfx
Interactive, Inc., and to file the same, with the Securities and Exchange
Commission and any other person, granting unto the attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in and about the premises, as fully to all
intents and purposes as he or she might or could do in person, and hereby
ratifies and confirms all that said attorney-in-fact and agent or his substitute
or substitutes, may lawfully do or cause to be done.


February 13, 1998                           /s/ Mark W. Bailey
                                       --------------------------------
                                               Mark W. Bailey
                                               General Partner           


                                           /s/ Anthony B. Evnin
                                       --------------------------------
                                               Anthony B. Evnin 
                                               General Partner

       
                                          /s/ David R. Hathaway
                                       --------------------------------
                                              David R. Hathaway
                                              General Partner


                                          /s/ Ted H. McCourtney
                                       --------------------------------
                                              Ted H. McCourtney
                                              General Partner


                                          /s/ Ray A. Rothrock
                                       --------------------------------
                                              Ray A. Rothrock
                                              General Partner

                  
                                         /s/ Kimberley A. Rummelsburg
                                       ---------------------------------
                                             Kimberley A. Rummelsburg
                                             General Partner


                                         /s/ Patrick F. Latterell
                                       ---------------------------------
                                             Patrick F. Latterell 
                                             General Partner


                                         /s/ Anthony Sun
                                       ---------------------------------
                                             Anthony Sun
                                             General Partner

                              Page 16 of 17 pages
