How do you find the derivative of e^tanx? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer Gió Mar 30, 2015 I would use the Chain Rule deriving e as it is and then multiplying times the derivative of tan, getting: e^(tan(x))*(1/cos^2(x)) Answer link Related questions What is the derivative of y=3x^2e^(5x) ? What is the derivative of y=e^(3-2x) ? What is the derivative of f(theta)=e^(sin2theta) ? What is the derivative of f(x)=(e^(1/x))/x^2 ? What is the derivative of f(x)=e^(pix)*cos(6x) ? What is the derivative of f(x)=x^4*e^sqrt(x) ? What is the derivative of f(x)=e^(-6x)+e ? How do you find the derivative of y=e^x? How do you find the derivative of y=e^(1/x)? How do you find the derivative of y=e^(2x)? See all questions in Differentiating Exponential Functions with Base e Impact of this question 3502 views around the world You can reuse this answer Creative Commons License