Question

derivative of log x​

Answer 1

Answer:

We know that the base of ln(x) is e,

so we plug e in for a in the derivative formula to get that the derivative...

formula of ln(x) is 1 / x(ln(e)).

Now, recall that we said the logarithm loga (x) is equal to the number we raise a to get x.

Therefore,...... ln(e) ...

.is equal to the number we raise e to in order to get

...... or....

Proof: the derivative of ln(x) is 1/x. Proving that the derivative of ln(x) is 1/x by using the definition of the derivative as a limit, the properties of logarithms, and the definition of as a limit.

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