How do you differentiate f(x) = e^xlnx?

1 Answer
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