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

Last updated: 7/10/2022

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.