Hey guys, I had a question about two functions and many more if you look at it right, that have the same derivative. I took the derivative of x^2 and found its derivative is of course 2x. So I decided to take the derivative and x^2+1 and found the same derivative applies????? How can This be??? Logically, you would think since the function x^2+1 is building up distance faster than that of x^2 the derivative would at least be slightly greater but it doesn't hold true. And is there anyway that I could look at the function x^2 and logically deduce that its derivative is 2x. Maybe im not grasping the full concept of the instantaneous derivative. Please help. Thank you.(adsbygoogle = window.adsbygoogle || []).push({});

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# Two different functions, the same derivative. Very interesting.

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