MAT136H1 Lecture 4: Antiderivatives

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: K Tolmachov

Document Summary

C is a equation for an antiderivative of the function f(x) = x . Key word is an example for a specific antiderivative. This means there are more other possible equations. x2 + ( 2. It is important to note the differences between b a f (x)dx and f (x)dx. The first is a number, the second is a family of functions. If f"(x) = 0 on an interval, then f(x) = c on this interval, for some constant c. If f(x) is a derivative of a constant function, it will always equal 0. Remember the antiderivative includes another aspect: c . F f(x) = 0 (a constant function), and f(x) is an antiderivative with f (0) = 1. F x f(x) = 1 (a constant function), and f(x) is an antiderivative with f (0) = 0. = f: find any function f , (x, general form of the antiderivative, plug in a .