## Calculus: Early Transcendentals (2nd Edition)

The graph of $y=f'(x)=2$ is just a horizontal straight line intercepting the $y$ axis at $y=2$ (red line on the graph below). This derivative can be the derivative of any linear function with the slope $2$ i.e. $f(x)=2x+b$ where $b$ can be any number. We will plot the three functions for three different values of $b$: $b=1$ (red), $b=-2$ (green), $b=0$ (orange)