Yln x 1Raising both sides as powers of ee y e ln x 2And using our log rules gives use y x 3and rearranging gives usxe y. Then the formula for the derivative of ln.
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The AP Calculus course doesnt require knowing the proof of this fact but we believe that as long as a proof is accessible theres always something.
Why is derivative of ln x 1 x. The derivative of ln x is 1x. Presumably you have defined ln as the inverse of exponentiation so that explnx x. Now to calculate the derivative of ln x consider the equation.
That said this is a strange exercise.
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