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 5916 views around the world You can reuse this answer Creative Commons License