The purpose of this lab was to show that the derivative of a transformation is the transformation of the derivative.
The lab made us to look at the tangent line at any given point. Then we multiplied and added numbers to the original function to see what would happen.
The lab made us to look at the tangent line at any given point. Then we multiplied and added numbers to the original function to see what would happen.
- Transformations that affect the slope of the tangent line at a point includes reflection of over the x axis and vertical stretches or shrinks.
- Function transformations that do not affect the slope of the tangent line at a point are vertical shifts.
The Gifs demonstrate what affects the slope of the tangent line and what doesn't