Hey guys, this is my Jungle Shyvana guide. I hope you enjoy it.
Shyvana is a great jungler because she has no mana she can immediately give blue buff to her AP carry, or keep it for herself depending, but letting your carry dominate their lane early can make a lot of difference. Shyvana has sustainable aoe damage for the jungle, and with her ult, speed boost from W and Exhaust, she has a lot of ganking power as well.

Enjoy!

For Runes i picked
Greater Quintessence of Alacrity x3
Greater Seal of Alacrity x4
Greater Mark of Alacrity x1
because Shyvana synergizes so well with Attack Speed items.
for the rest of the Runes i picked up
Greater Mark of Desolation x8
Greater Seal of Resilience x5
Greater Glyph of Warding x9
for increases survivability (however small) and increased damage output on auto attacks and Twin Bite

For Masteries i pick up the basic 21/0/9 Jungle AD build, picking up Archaic Knowledge because much of her damage is magic damage.
This allows her to deal a lot of damage both in the jungle and in teamfights, which provides for a lot of burst and snowballing late game.

The items are pretty self-explanatory as well.
I pick up Cloth Armor for the sustain in jungle, and if you get a decent leash at blue, then you won't have to go back until level 4 or 5 if you're lucky.
Getting those Boots of Speed early for an early game gank with exhaust can mean all the difference, so i favor those after Cloth Armor, follow those up with Wriggle's Lantern for Jungle power, and then you can start going damage all the way.
Wit's End is a great, cheap item for Shyvana because if provides survivability and a lot of Attack Speed.
I next go for a Phage and turn it into either a Frozen Mallet or maybe a Trinity Force (if fed, or don't need the slow)
This item Synergizes very well with Atma's Impaler which makes you a little less squishy as well to survive those team fights
I finish this build up with a Banshee's Veil or Quicksilver Sash because of how vulnerable to CC she is.
Other items are very viable on her, such as Phantom Dancer, Black Cleaver, and The Bloodthirster, but for this build i like building her at least a little tanky with items that synergize both damage and tanky well.

Starting with your W gives you early jungle power, but Twin Bite is you major source of damage so max it at 9 after putting 2 ranks into W early. E is a great harass ability but it tends to not be as good as maxing Q is.

Try to position yourself with dragon to force them to run through your fire trail with W, and don't initiate team fights or you will die. It is very tempting to DRAGONRAGE into the middle of their team and lol, but you're way too squishy for that to succeed. R also provides a high amount of escapability and replaces flash in my build.

Ideally, getting your support to leash wolves and then have them run to Blue and hit them right as you kill wolves so you can get both and make it out with a majority of your health. This provides you with a ton of jungle speed because of all the health you'll have to jungle before you have to go back.

Alternate paths are wolves, wraiths, big golems, back, wolves, blue, wraiths, big golems, red, gank.

OR, counter jungle smite blue (steal it while theyre fighting it, or big blue wraith smite back to your own jungle.