Question

Find f'(x) for f(x)=e^(x)ln(x)

Answer 1

df/dx = e^x(1/x+ ln(x))

Explanation:

f(x) = e^x * ln(x)

We can solve this by partial derivatives

df/dx = u dv + v du

let u = e^x and v = ln(x)

df/dx = e^x * 1/x + ln(x) * e^x

Factor out the e^x

df/dx = e^x(1/x+ ln(x))