To lift up; to raise something up (to a higher position).
彼は重い箱を軽々と差し上げた。
He easily lifted the heavy box up.
子どもを抱き上げて差し上げた。
I picked the child up and lifted them.
Humble (kenjougo) way to say 'to give' or 'to offer' something to someone of equal or higher status.
その本を差し上げます。どうぞお読みください。
I'll give you that book. Please read it.
お土産を先生に差し上げた。
I presented a souvenir to the teacher.
何かお困りのことがあれば、私に言ってください。できることなら差し上げます。
If you have any problems, please tell me. If I can, I'll help/offer (to you).
Auxiliary (humble) verb used after the -te form to mean 'to do (something) for someone' in a more respectful way than 〜てあげる.
ええ、見て差し上げましょうか？
Shall I take a look (for you)? (humble)
こちらでお預かりして直して差し上げます。
We'll take it here and fix it for you. (humble)
何かお手伝いして差し上げられることがあれば言ってください。
If there's anything I can do to help you, please tell me.