February 15, 2002
(1) Find the following antiderivatives.
(2) The graph of a function f(x) has slope at
each point (x, f(x)).
Also, the graph of f(x) passes through the point (1,
5). Find the function f(x).
The information says slope = f '(x) = .
This means f(x) =
Thus f(x) =
To determine f completely, we just need to find C. To do this, use
the fact that f(1)=5.
5= 0 + 3/4 +C
Therefore C = 17/4, and the answer to the question is f(x)