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Provide an Appropriate Response y=cos1xy = \cos ^ { - 1 } x

Question 478

Essay

Provide an appropriate response.
-Consider the graphs of y=cos1xy = \cos ^ { - 1 } x and y=sin1xy = \sin ^ { - 1 } x . Does it make sense that the derivatives of these functions are opposites? Explain.

Correct Answer:

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Yes, They both have domains blured image. ...

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