Home > Calculus > Differentiating Logarithmic Functions with Base e

What is the derivative of #ln(x/2)#?

Answer 1

#y=ln(x/2)#

#y=lnx-ln2#

Therefore:

#(dy)/(dx)=1/x#

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Answer 2

Emma Aldridge

The derivative of ln(x/2) is 1/(x/2) * (1/2), which simplifies to 1/x. Therefore, the derivative of ln(x/2) is 1/x.

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Answer 3

Ezekiel Alexander

The derivative of ln(x/2) with respect to x is 1/(x/2) * (1/2) = 1/x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.