What is the derivative of e^(t^2)et2? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Bill K. Oct 17, 2015 2te^(t^2)2tet2 Explanation: Use the Chain Rule like this: d/dt(e^(t^2))=e^(t^2) * d/dt(t^2)=2te^(t^2)ddt(et2)=et2⋅ddt(t2)=2tet2. Answer link Related questions What is the derivative of f(x)=ln(g(x))f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x^2+x)f(x)=ln(x2+x) ? What is the derivative of f(x)=ln(e^x+3)f(x)=ln(ex+3) ? What is the derivative of f(x)=x*ln(x)f(x)=x⋅ln(x) ? What is the derivative of f(x)=e^(4x)*ln(1-x)f(x)=e4x⋅ln(1−x) ? What is the derivative of f(x)=ln(x)/xf(x)=ln(x)x ? What is the derivative of f(x)=ln(cos(x))f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x))f(x)=ln(tan(x)) ? What is the derivative of f(x)=sqrt(1+ln(x)f(x)=√1+ln(x) ? What is the derivative of f(x)=(ln(x))^2f(x)=(ln(x))2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 9106 views around the world You can reuse this answer Creative Commons License