Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the derivative of # ln(x^(1/2))#?

1 Answer

Oct 21, 2016

# d/dxlnx^(1/2) = 1/(2x) #

Explanation:

Use the properties of logs: #log a^b=bloga# and the natural log derivative, # d/dxlnx=1/x #

so #d/dxlnx^(1/2) = d/dx(1/2lnx) #
# :. d/dxlnx^(1/2) = 1/2 d/dx(lnx) #
# :. d/dxlnx^(1/2) = 1/2 1/x #
# :. d/dxlnx^(1/2) = 1/(2x) #

Related questions

See all questions in Differentiating Exponential Functions with Calculators

Impact of this question

22846 views around the world

You can reuse this answer
Creative Commons License