Tangent to Sinusoidal Functions

Topic:
Functions
Observe what happens to the slope of the tangent line as you drag P along the sine function. According to the differences column of the table of values, what type of function is the derivative? Use the slider to change the base of the exponential function to see if this relationship holds in general. Note: the values in the x column of the table correspond to 0, , , etc.

The derivative of an exponential function appears to be …

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