This is a guide on how to play Shyvana(shortened to Shyv) in the jungle and how to 1v1 baron with only four items. I play a lot of Shyv jg and am always trying to find ways to kill that pesky baron without the need of teammates. Shyvana is just a champ with enough raw power and has a passive with enough utility to make it happen very easily.
Please note this is my first guide and as such it's a work in progress

Pros

Good base damage
% health damage
Strong Duelist

Cons

Auto Attack reliant
No real CC outside items and Ult
Ult doesn't always work

Shyvana's passive gives her bonus armor and magic resistance (5, 10, 15, and 20) at lvs 1, 6, 11, and 16. These stats while not providing a game changing experience provide Shyv with free tank stats throughout the game most importantly the beginning which makes jg clears a lot smoother.

Shyvana's Q is Twin Bite which is where the bulk of her power comes from. Twin Bite increases the damage of her next auto by 80-100% increasing by 5% per lv. It's cool down also decreases by 05 seconds per auto attack that lands and also resets her auto attack timer.

Shyvana's W is Burnout and is her primary clearing ability. Burnout does magic damage around Shyv and her auto attacks can extend its period by four seconds while also doing 25% of burnout's damage per attack.

Shyvana's E is a linear skill shot that does magic damage and enemies hit take 2.5% of their max health as magic damage when Shyv hits them with her auto attacks. The magic damage of this ability doesn't do much but the % health damage comes in handy especially when paired with a BORK and a lot of attack speed.

Shyvana's R is a linear dash and thus can be stopped with hard CC it also does magic damage to everyone hit. Shyvana's ult doesn't have a normal cool down and is instead determined by whether Shyv has 100 rage which is generated by auto attacking and by the second and a half based on her ult rank (1, 2, and 3). Shyvana's ult makes all of her other abilities gain area of effect changes. Shyvana's Q hits enemies in a cone in front of her, her W does damage over time on the ground for 5 seconds, and her E becomes a cone in front of her marking all of them hit.

Start at the Krugs and get a leash from either the adc and support or top laners. Next kill the red buff and if you're worried that it might be stolen ward this is very important if the team has a shaco or blitzcrank on their team. Next if you haven't drank a pot fighting the red buff do so and head toward the scuttle crab on the red side and kill it to gain some easy gold and life from life steal. Kill the raptors then head toward the wolves and then kill blue buff and gromp. Now if the blue scuttle is still alive then take it and that's the first jg rotation. Make sure to smite the Krugs at first and throughout the game remember to smite the raptors as being able to clear wards is very useful for a jungler. Once you have your jg item fully complete make your way to the dragon and make sure no one is around and take it for 5 stacks of your devourer. Make note that at 5 stacks shyv can 1v1 the Rift Herald and doing so is very important to getting sated before 15 minutes if this changes in a future patch I'll update this information.