Here in Austin, tX the temperature is going again for the high 90's F (95, 96,99..)

I have planted a 2 years old vds fig tree that filled a 3 gallon pot around sept 2.
I have a table over it to protect it from the sun.

I have also up-potted several figs from a 2.5 qrt to a 3 gallon 3 wks ago.
I have been keeping them in shade under a table with the vds., but for how long? When the temperature drop down to the low 90's high 80's?

Depending on the temperature, when I remove the table when the temp is between 90-95, figs seems ok.
But now temp is reaching 98-100F, Today I notice the some of the leaves of the bigger plants droop a bit but when they are watered they lift up. Table came back on.  Not risking death.

I also notice a bit of black fungus spots on some of the leaves. not severe. 

So what should I do? When to remove the table? 

Same temps here in East Texas.  You have to be careful not to over water, which means you have to be careful not to underwater, LOL.  The sun is vicious on the leaves and will dry them out but the roots maybe okay.  Make sure the pots are draining okay and I would keep them out of direct sun.

When you water do not water in full sun nor spray the leaves. Early or late in afternoon is best.Give it a little water every day and it will do ok until the next rain.
The shade will help when dealing with young trees. It took four seasons for one of my trees to get going, while others still adjusting, but once they get going you'll know.
I planted them in full sun when they were still developing from cuttings in their first few months and they handled 100 degree plus, on drip irrigation.
If you can attach a drip irrigation on a timer to your faucet it might be best until established.

it was recorded at 101F today....
Perhaps after this heatwave, I will remove the table.
Also water in early or at sunset.

Be sure your pot is not on hot cement as this can also transfer a tremendous amount of heat to the roots. Also, black pots are the hardest on roots because of heat retention.

Hi,
So they are all in pots ?
If so, the problem is not the leaves but the roots getting cooked.
You could bury the pots in the dirt or in mulch. Buy or build a big container, fill it with loam or pine-bark and insert the pots inside. The roots will stay fresher in that container containing the pots.
You can keep them in shade, but then the tree have no sun light to grow healthy ... So I would do the container stuff. Or make a box (just the 4 sides, no top, no bottom ) with wood on the floor and fill that box with loam or dirt or pine bark or sand , whatever is the cheapest and/or more handy for you (no straw, no hay as this would become a rodent HQ ).
This way, you can have the pots in full sun or half-shady spot for the plants to thrive. Keep them watered too, and use fertilizer of course . You need to fuel them, if you want them to be and grow healthy, especially in pots.
Keep us posted ! Especially if you build the wood-box . I like to see the others sweating and me resting on a chair ...
Good luck !