Effect of Reflections on the Derivative

As we reflect a function, what happens to its derivative? Use the checkmarks to trigger a reflection in the function, then observe what happens to its derivative. Use the circles next to the function definitions to toggle their visibility. Repeat this for the cubic, exponential, and sinusoidal functions.

Which of the following best describes how reflections affect the derivative? (Check all that apply.)

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A
No effect
B
Horizontal reflections affect the derivative; vertical reflections do not
C
Vertical reflections affect the derivative; horizontal reflections do not
D
Vertical reflections result in the derivative being vertically reflected only
E
Horizontal reflections result in the derivative being reflected through the origin
F
Vertical reflections result in the derivative being reflected through the origin
G
Horizontal reflections result in the derivative being horizontally reflected only

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Effect of Reflections on the Derivative

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