Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #05c1d

1 Answer

Dec 15, 2017

#=e^sqrt(x)/(2sqrt(x))#

Explanation:

first, derivative of #e^x# is #e^x# proof

derivative of #e^sqrt(x)# is #e^sqrt(x)*d/dx(sqrt(x))# chain rule

#=e^sqrt(x)*d/dx(x^(1/2))#

#=e^sqrt(x)*(1/2x^(-1/2))# power rule

#=e^sqrt(x)/(2sqrt(x))#

Related questions

See all questions in Intuitive Approach to the derivative of y=sin(x)

Impact of this question

1551 views around the world

You can reuse this answer
Creative Commons License