What is the derivative of e^(2x)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Adrian D. Aug 6, 2015 2e^(2x) Explanation: Use the chain rule: f=g(h) => f'=h'g'(h) With: g=e^u => g'=e^u h=2x => h'=2 Answer link Related questions What is the derivative of f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x^2+x) ? What is the derivative of f(x)=ln(e^x+3) ? What is the derivative of f(x)=x*ln(x) ? What is the derivative of f(x)=e^(4x)*ln(1-x) ? What is the derivative of f(x)=ln(x)/x ? What is the derivative of f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x)) ? What is the derivative of f(x)=sqrt(1+ln(x) ? What is the derivative of f(x)=(ln(x))^2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 1858 views around the world You can reuse this answer Creative Commons License