What is the derivative of e^(t^2)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Bill K. Oct 17, 2015 2te^(t^2) Explanation: Use the Chain Rule like this: d/dt(e^(t^2))=e^(t^2) * d/dt(t^2)=2te^(t^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 9057 views around the world You can reuse this answer Creative Commons License