Manipulating a sine or cosine function
Original sine function
Translation manipulation along the
y-axis.
To translate, grab and drag near the axis of vertical symmetry of the graph.
Finding the derivative at a point (the slope)
This method uses the
create a tangent on the graph to help visualize the slope and then use
the
Measurement
1. From the
Analyze Graph
2. Click the point on the graph at which you want to find the derivative.
492
Graphs & Geometry
Analyze Graph
menu to measure it.
menu, select
Rotation manipulation of the sine
function. To stretch, grab away from the
axis of vertical symmetry of the graph,
and then drag.
Translation manipulation along the
x-axis.
menu. Alternatively, you could
.
dy/dx