Question

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

Answer 1

`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`