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Derivative of Sine Using Limit Definition

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Using the graph of f(x)=sin(x)f(x)=\sin(x), find the derivative f(x)f'(x) using the limit definition of the derivative.

A

cos(x)-\cos(x)

B

A misapplication might yield cos(x)sin(x)\cos(x)-\sin(x), which is incorrect.

C

sin(x)\sin(x)

D

cos(x)\cos(x)

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