Try to do or try doing?

gerund

I think I'll try setting my alarm a bit earlier. - Я думаю, що спробую встановити свій будильник трохи раніше.

 

 to-infinitive

I tried to get up early but I couldn't. - Я спробувала встати рано, але я не змогла.

Gerund (Ving) - do smth. and see what happens; do smth. which might solve a problem; experiment with

1. Why don't you try getting up early? - Чому б вам не спробувати вставати рано?
2. I tried clicking on the box, but it doesn't work. - Я спробував натиснути на поле, але воно не працює.
3. If your alarm clock doesn't work, try re-setting it. - Якщо ваш будильник не працює, спробуйте повторно встановити його.

to-infinitive - make an effort to do smth., attempt, do your best, but not necessarily succeed (try and fail)

1. I will try to remember not to disturb you. - Я постараюсь запам'ятати, щоб не турбувати вас. (але можу забути)
2. I'm trying to run this computer program. - Я намагаюся запустити цю комп'ютерну програму. (але не виходить)
3. I must try to get to work on time tomorrow. - Я повинна спробувати дістатися до роботи вчасно завтра.

Some examples and explanations are taken from

First Certificate Language Practice by Michael Vince and Paul Emmerson, MACMILLAN

Cambridge Grammar of English by Ronald Carter and Michael McCarthy, Cambridge

Oxford Practice Grammar by John Eastwood, Oxford University Press
Oxford Practice Grammar by George Yule, Oxford University Press