What is the derivative of e^(ax)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer loa Sep 18, 2015 ae^(ax) Explanation: The derivative of e^(f(x)) (with respect to x) is e^(f(x)) f'(x). In this case f(x)=ax and f'(x)=a. 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 125477 views around the world You can reuse this answer Creative Commons License