Graphically, find a critical point of the function

Using Microcalc:

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Extrema - Graphing*, press and . - At the prompt
*F(x) =*, enter the formulasin(x+1) - Enter the bounds at the prompts
*x_0 =*0*x_1 =*1*y_0 =*0*y_1 =*1

- You get the following graph:
- (*)Press and, using the arrow
keys, move to
*Zoom In*and press and . - You get a box in the middle of the screen; using the arrow keys and
, move the box to contain the
relative maximum of the graph.
- As seen in the graph above, the box may not contain the line which
which appears to contain the relative maximum. To remedy this, press
and then
; the box expands and then shrinks
horizontally as shown in the following:
- Press and you will get the part of
the graph which lies in the box:
- Continuing in this manner by repeating from (*), you can get a better approximation to the desired critical point.