The graph of a derivative f '(x) is shown in Figure 5.61.
ok, im given this graph of the derivative of f(x)...
can some help me find the coordinates to f(x)...i was given that f(0)=5
thanks...
mer1988
Hello, mer1988!
This takes quite a bit of work (but simple stuff).
I will also assume that is continuous.
We'll examine the function over the different intervals.The graph of a derivative is given.
i was given that:
On , we see that: .
Integrate: .
Since is on the graph: .
Hence: on
. . Note that: .
On
Integrate: .
Since is on the graph: .
Hence: [color=blue}on [/color]
. . Note that: .
On
Integrate: .
Since is on the curve: .
Hence: on
. . Note that: .
On
Integrate: .
Since in on the curve: .
Hence: on
We have the piecewise function: .
And you can graph now . . .