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A friend concludes that because y = In 6x and y = In x have the same derivative, namely dy =- 1 dx X
A friend concludes that because y = In 6x and y = In x have the same derivative, namely dy =- 1 dx X these two functions must be the same. Explain why this is incorrect. Choose the correct answer below. OA. 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. OB. 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. OC. 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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