Hello,
This is my first build and extremely happy with it / will promise you a fun & monsterous game. AP Shyvana is extremely rare in the jungle, people assume she can only be a strong tank jungler, they scale her with cincerhulk and realize you produce no damage and watch your team die around you. But with AP you are the one creating fights, making comebacks, and most importantly getting kills! This build is fun in normals but be wary in ranked. Play smart because they will catch on eventually!

The rune page choice I have is effective for scaling + giving you a higher chance of doing good AP damage to destroy your enemies. For seals I chose Scaling health so late game team fights you will not have to worry about your health (they will be dead before half health). As well as a armor boost so you can focus on MR if you'd like without worrying about AD. For marks I chose hybrid penetration because shyvana's abilities are mixed between AP + AD, so it gives you the opportunity to use all your damage capabilities in fights. For glyphs I chose scaling cooldown reduction so by late game you can constantly fire your E + W + AA + Q combo (use AA to keep burnout going). As well as some AP glyphs to add some extra AP just because you can. And finally 3x Ability Power quintessences to help you with some amazing AP during your game.

Most people assume shyvana is only good with full tank specs with some damage so she can atleast trade with opponents.(WRONG) With 23 Damage you are the one players will worry about with so much unexpected AP. Plus if you build your items properly you will not have to worry if you will be blown up, because you simply won't. As the build titles name is stated "Burn All in your Path!"

Typically shyvana is used as the tank in hope of absorbing the damage by the enemy team and to protect your team from getting blown up. But sadly shyvana has very limited crowd control capabilites (some people get blue smite but how effective is that really). With AP Shyvana you are the best of both worlds, easily destroying enemies while eating anything they throw at you. You want to focus on the squishy targets first (ADC & APC) this will allow there damage to deplete greatly. Then you have the opportunity to focus on the next big threat and squash them out usually leaving their support running for their life.

AP Shyvana jungle is an extremely fun build to use, and will be very effective when used properly. This is my first build ever so I really hope you guys find it helpful, and that I have atleast given you some insight to the possibilities you can build with her. Note that I am not saying this is the best shyvana build ever or that it is the only way you can build an AP Shyvana. I found this effective for the elo I am in as well as a fun experience to play as her with AP.
Thanks for reading and I am open to advice to help improve my first build!