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  3. a friend concludes that because y = in 6x and y =

A friend concludes that because y = In 6x and y = In x have...

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Basic Math

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A friend concludes that because y = In 6x and y = In x have the same derivative, namely dy/dx = 1/x'these two functions must be the same. Explain why this is incorrect.Choose the correct answer below.A. A derivative shows the function at a certain point. Even though the function y = In 6x and y= In x have the same derivative, the derivative only shows that the functions are the same at a certain point.B. A derivative shows the function's y-intercepts. Even though the function y = In 6x and y = In x have the same derivative, the derivative only shows that the functions have the same y-intercepts.C. A derivative is a measure of how a function changes as its input changes. It is incorrect because the derivative shows how the functions change at an equal rate, not that the functions are the same.

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