Question

26. What is the derivative of x^e^logx ?​

Answer 1

ANSWER

This is an example of chain rule in derivatives.

Consider f(x)= e^log(x)

d/dx(e^log(x))

We know d/dx of e^a= e^a, in this case a= log(x)

Therefore d/dx( e^ log(x))= e^log(x) × d/dx of log(x)[ which is 1/x].

Thus derivative of e^ log(x ) is e^ log(x)/x