Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the derivative of #y = 10^(1-x^2)#?

1 Answer

Jun 21, 2016

# y' = -2\ln (10) \ x \ 10^{1-x^2} # x

Explanation:

take natural logs

#\ln y = \ln (10^(1- x^2)) = (1- x^2) \ln (10) #

#\\frac{1}{y} y' = - 2x \ln( 10) #

# y' = - 2x \ln 10 \times y = -2\ln (10) \ x \ 10^{1-x^2} #

Related questions

See all questions in Chain Rule

Impact of this question

2805 views around the world

You can reuse this answer
Creative Commons License