How to Differentiate ln(sqrt(x)) By Rewriting and using the Power Rule for Logarithms

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How to Differentiate ln(sqrt(x)) By Rewriting and using the Power Rule for Logarithms

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  1. The Math Sorcerer
  2. How to Differentiate ln(sqrt(x)) By Rewriting and using the Power Rule for Logarithms
  3. derivative
  4. natural log
  5. calculus
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Комментарии
Автор

quick, simple and clean. thank you sir

anas
Автор

ln(u) = u'/u
Where u is function of x and u' is the first derivative of u

This may be used to do these types of problems faster

Great video 👍👍

sunjanmodak
Автор

This is very helpful thx
Got a math problem for it and wasn't sure what to do lol 🙌

-hitman-
Автор

The derivative of f(x) = ln(sqrtx) is 1/(2x), but f(x) doesn't exist at negative values even though the derivative does. Using the chain rule, the derivative can also be expressed as either 1/(2(sqrtx)^2) or 1/(2sqrt(x^2)), but one exists at negative numbers while the other doesn't. Which is the true derivative of ln(sqrtx), and should there be a domain restriction due to the fact that f(x) doesn't exist at certain points, even though the derivative does?

johndalepringle