13. What is the derivative of f(x) = sin(xx) for x > 0?

A. xx(1 + ln x) cos(xx)

B. xx cos(xx)

C. xx ln x cos(xx)

D. cos(xx)

E. cos(xx ln x)

 

Solution: The answer is A

 

Since, xx = (eln x)x = exln x, we can rewrite f(x) as follows:

Use the Product Rule to differentiate with respect to x.