Question 894986
This is an algebra website. Your question is a calculus 1 question.

Use the quotient rule.

THE BOTTOM TIMES THE DERIVATIVE OF THE TOP - THE TOP TIMES THE DERIVATIVE OF THE BOTTOM DIVIDED BY THE DENOMINATOR SQUARED.

[(1 + e^2x)(e^x) - (1 + e^x)(e^2x)(2)]/(1 + e^2x)^2

[(e^x)(1 + e^2x) - (2e^2x)(1 + e^x)]/(1 + e^2x)^2

Done!