Home > Calculus > Differentiating Logarithmic Functions without Base e

What is the derivative of the #sqrt ln x#?

Answer 1

Christopher Agresta

I would use the Chain Rule to deal separately with #sqrt# first and #ln# after;

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Answer 2

Elijah Abram

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

This can be found using the chain rule of differentiation.

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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.

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