See the guide on leaguecraft for the better formatted version: http://www.leaguecraft.com/strategies/guide/3655,Nidalee%20-%20Fear%20the%20Wild!
This guide will expound on the AP/Lich Bane Nidalee build.
Nidalee is a very versatile champion. She has a skill-shot nuke, a reconnaissance/debuff trap, a heal and attack speed buff skill, and an interesting ultimate that turns her into a threatening melee wrecking ball. A recent update changed the numbers for her skills, making them less effective early and more effective with significant ability power. This reinforced the strength of going AP/Lich Bane. There are few champions that can abuse Lich Bane better than Nidalee.
So, let's get down to business:
[Prowl] (passive):Not the most powerful passive, but it sometimes helps movement. It definitely encourages control of bushes.
[Javelin Toss]:A very powerful nuke. Even at point blank, it does some good damage. Don't be afraid to use it at point blank. But at max range, you can take off 1/3rd of their HP or more with just one toss. If I'm soloing mid, I always get to mid quickly and plant a bunch of them in the bushes nearby, making it much harder to gank me early. It's also great for destroying Heimerdinger's Turrets! Protip: If you toss it while in the bushes, the enemy will have much less time to react.
[Takedown]:A medium power Cougar-nuke. Does more damage the lower they are, but usually you just want to use it when you have it available. The cooldown is very short. Combined with Lich Bane, it can do some very nasty damage.
[Bushwhack]:Awesome utility skill. Spam it everywhere, usually around corners, in brush, in choke points, near Golem/Lizard to reveal anyone that tries to jungle there, and best of all: to reveal wards! Pop a Bushwhack where you think or know a ward is, and take it out. There goes 90 or so gold, plus time taken for them to replace it. Should almost always be on cooldown.
[Pounce]:Excellent skill, contributes to your abuse of Guinsoo's Rageblade. Pouncing around the map allows you to maintain max charges on Guinsoo's forever, for no mana cost. It also does some good AoE damage upon landing, making for good farming and helping to chase with Rylai's Scepter. It's also useful for hopping around a little faster than you would run otherwise. You'll want to practice leaping over certain ledges. Note that its cooldown cannot be reduced.
[Primal Surge]:This has been changed to heal less early on (it was too good,) but now the AP ratio is higher (1.25, making an AP build even better.) Early on, it's a mild to moderate heal, a little less than Kayle's [Divine Blessing], but gives a pretty good attack speed buff. Later, it becomes a very significant heal, and can be used on carries to great effect. (They'll want the attack speed more than you, if they're nearby, which late game they should be.)
[Swipe]:Pretty good AoE, especially for free and in combination with Pounce. The damage is only in front of you, so make sure to be facing the right direction.
[Cougar Form]/[Human Form]:This allows you to rapidly switch back and forth between forms. It's free, and leveling it up is what improves your cougar skills. The low cooldown allows for massive skill-spam, going back and forth between forms and using both forms' skills, triggering Lich Bane like mad. (Leveling up the other skills only affects the [Human Form]'s skills, although you need 1 rank in them to have the skills available.)
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First, Leaguecraft sucks, which kind of makes your guide suck, because it directly reduces accessability. In one swift act you have effectively separated the guide from the discussion of it, and made yourself look very lazy at the same time.
What I get from this - Buy AP Stuff, Play Smart. Well, great.
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