How do you differentiate f(x) = e^xlnx? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Calculators 1 Answer ali ergin May 24, 2016 d f(x)=(e^x/x+e^x*l n (e)*l n(x))*d x Explanation: f(x)=e^x*l n x ? d/(d x) (e^x)=e^x*l n(e) d/(d x) l n(x)=1/x y=a.b y^'=a^'*b+b^'*a d f(x)=(e^x*l n(e)*l n (x)+1/x*e^x)* d x "or:" d f(x)=(e^x/x+e^x*l n (e)*l n(x))*d x Answer link Related questions How do you use a calculator to find the derivative of f(x)=e^(x^2) ? How do you use a calculator to find the derivative of f(x)=e^(1-3x) ? How do you use a calculator to find the derivative of f(x)=e^sqrt(x) ? What is the derivative of e^(-x)? What is the derivative of ln(2x)? How do you differentiate (lnx)^(x)? How do you differentiate x^lnx? How do you differentiate e^(lnx) ? How do you differentiate y = lnx^2? How do you differentiate [(e^x)(lnx)]/x ? See all questions in Differentiating Exponential Functions with Calculators Impact of this question 6327 views around the world You can reuse this answer Creative Commons License