Help Me To Distinguish This True or False questions?

Please explain to me whether the statement below are true or false:


1. A function f(x) has at most one derivative.


2. If F(x) = the integral from 0 to x of the function f(t)dt and G(x) = the


integral from 0 to x of the function g(t)dt, then F(x) + G(x) = the


integral from 0 to x of (f(t) + g(t)) dt








I need some explanation too! ThanksHelp Me To Distinguish This True or False questions?
For first question


If some function f(x)has to be defined there must be one term in x that is foreg 2x or 7x or sin x.therefore it has atleast one derivative. Constants like 4 or8 cant be function of f(x)