Differentiate the fuction f(t)=2t+1/t+3

Question

Differentiate the fuction f(t)=2t+1/t+3

Answer 1

What you have written is f(t)=2t+(1/t)+3...but I suspect you really mean (2t+1)/(t+3).

There is a mnemonic I learned not too long ago from my students which will help you with this problem:

downsie d upsie minus upsie d downsie divided by downsie squared

I will let you think about the mnemonic and then answer the question.