The turning signals and emmergency lights just stopped working on my 2001 toyota corolla. Could it be the fuse? If so where is the fuse located?

Question edited for clarity.
Question moved from MISC to make model category.

You mean the lights in it? Fuse 18.

https://fuse-box.info/toyota/toyota-corolla-e120-e130-2003-2008-fuses

Or the actual speed information? No fuse, the data comes from a speed sensor and it processed by the ECM and BCM. Videos in the link.

https://www.google.com/search?q=2004+toyota+corolla+fuse+speedometer+not+working

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does your car have the signal light flasher if so find it and replace it also check the fuses maybe both sides are fused separate

Check the cigar lighter for a coin in it.Children put coins in there and it blows the fuse.

Check these two fuses. Fuse number 31 in fuse box location 4, if cigarette lighter, radio and clock. Else fuse number 5 in fuse box location 2, if only radio and clock and not cigarette lighter.

I found this useful diagram at troubleshoot vehicle.com. It answers your question. Fuse box is located below steering column.
Driver Side Fuse Panel
(1993-1996 Toyota Corolla) December 21, 2013 Updated: December 21, 2013 Written by: Abraham Torres-Arredondo In the table below you'll find the fuse location and description of the fuses of the driver side under-dash fuse box on 1.6L and 1.8L 1993-1996 Toyota Corolla.
The fuse box is located on the driver side of the dash, below the steering column.
1993-1996 Toyota Corolla Driver Side Fuse Box Fuse Fuse Name Amps 1 Cigarette Lighter, Digital Clock, A/C System, A/T Shift Lock, Alarm, SRS Airbags 20 2 Tail, Parking & License Lights, Instrument Panel and Daytime Running Lights 15 3 Fuel Injection, Cooling Fans, Battery Discharge Light 10 4 Cruise Control System, Daytime Running Lights 10 5 Fuel Injection System 7.5 6 Stop Lights, Cruise Control, Shift Lock System, Anti-Lock Brake (ABS) System 15 7 Turn Signals, Emergency Flashers 10 8 Starting System, Anti-Lock Brake (ABS) System, Shift Lock System 15 9 Gauges, Reminder Lights, Back-up Lights, A/C System, Daytime Running Lights 10 10 Front and Rear Wiper/Washer System 20

have you checked the headlight switch itself could be a faulty light switch

May not be any fuse and if it was other things would not work either. It is most likely the sitch that controls the running and dash board lights.

usually underneath on the driverside

check is bulbs ok? Check the fuse`s.

it located near the battery adjacent to the fuse box