Have more faith in yourself. You got 1 and 2 completely right. For problem 3, I suggest logarithmic differentiation. ln(y) = ln(x) ln(ln(x)). 1/y * dy/dx = ln(ln(x))/x + ln(x)/ln(x)x dy/dx = y(ln(ln(x))/x + ln(x)/ln(x)x). Does that make sense to you. I used the same method one would find the derivative of x^x with. I'm gonna have to have a careful look at prob 4.