Where is the clutch fluid reservoir on a 2006 toyota corolla

What year and mileage is on you Corolla? First check the fluid level in the brake fluid reservoir as a hydraulic clutch also uses this reservoir. Next, using a flashlight, look under the vehicle to check for any leaks under the transmission. Low fluid can make gear changes harder. A transmission leak will be a dark red colour.
The most likely cause is a worn clutch. Does it 'Slip' or jerk in other gears as you raise the pedal? This is a repair that is easier for a good mechanic to do as you will need to lower the engine to get the transmission housing off.

I take it you mean the transmission grinds when shifting into reverse with a manual transmission in which case the input shaft of the transmission is still partially engaged with the engine. One cause may be low fluid in the hydraulic clutch reservoir if it has a hydraulic clutch mechanism; use DOT-3 brake fluid and pump the clutch pedal a few times to remove any air. Another cause may be that the pilot bearing is hanging up; this is a major repair. Another possibility is that the clutch lining is coming loose or totally disintegrated requiring replacement.

Yes they are the same . Check that the master cylinder is operational as a slipping clutch can be a blocked compensating port not allowing the fluid to drain back to the reservoir and holding the pressure on the clutch release.

Practically applied for more than 4 decades I have found that the clutch fluid is not more than a brake fluid. This Brake fluid is broken as
DOT(s) and ranges 2 to 5. Properties are of higher numbers say like DOT 3 and 4 have more ability to resist heat and have higher boiling temperature marks than DOT 2. Cars like manufactured around 1998 should use Dextron II D or 3. If you are to top up the level (you can check the minium and maxium level marks at the outside of the fluid plastic reservoir) the best is to top up to maximum level with as same as mother fluid. If you can't get or don't know what brand or what type of clutch fluid is already exits and not to get even a small reactions between fluids, flush out the existing one and replaced with the other.
Make sure you have enough amount of fluid for your dry clutch hydraulic system. One 0.5 bottle is good enough for family and light trucks. Make sure you bleed out all the air trapped inside the dydraulic system. Good luck.

Brake oil is put in two places.
1- Brake oil reservoir.
2- Clutch oil reservoir.
The recommended brake oil is DOT 3.

If you look at the drivers side of the brake fluid reservoir you should see a rubber hose that feeds to the clutch master cylinder. The clutch master cylinder is kept full via the brake fluid reservoir.

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Under the hood between the brake booster and the left fender on the firewall.

Clutch cable? Actually, I think you'd have a hydraulic clutch. If it's cable, it would come out of the firewall, where your clutch pedal operates, and down to the transmission. If it's hydraulic, there'd be a clutch reservoir just beside your brake reservoir on the firewall, with a hose leading down to a "clutch slave cylinder" mounted on your transmission. If you have no clutch, this slave cylinder can be easily bled of air and will gravity feed new fluid to the cylinder.

Did you bleed the air out of the system, also if empty there a leak some where. bleed system and check for leak's, look around for wetness could be a bad slave cylinder, clutch master or the line from clutch master to slave cylinder.

good day, the one you filled maybe the reservoir of the clutch fluid, the one you should fill is the bigger tank for it is the one for brakes. hope this helps, have a nice day