What is the derivative of this function arctan(e^x)?
1 Answer
Jun 17, 2017
Explanation:
"differentiate using the "color(blue)"chain rule"
color(orange)"Reminders"
• d/dx(tan^-1x)=1/(1+x^2)
• d/dx(tan^-1(f(x)))=1/(1+f(x)^2)xxf'(x)larr" chain rule"
rArrd/dx(tan^-1(e^x))
=1/(1+(e^x)^2)xxd/dx(e^x)
=e^x/(1+e^(2x))
