*f*(

*x*) = e

^{x}. The blue line is the graph of the function

*g*(

*x*)

*=*

*x.*Point

*A*is on

*f*,

*and*

*A'*is the reflection of

*A*along the graph of

*g*(

*x*)

*.*

1.) Drag point

*A*along

*f*and observe the red trace.

2.) What are the coordinates of the reflection of point

*A*coordinates (

*a*,

*b*)?

3.) What do you think is the equation of the graph traced by

*A'*?
How can we Speeding up sigmoid function by approximating exponential function

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