find the derivative of:
10x^(ln(x))
You need to apply the technique called logarithmic differentiation. have you been taught it?
Alternatively, re-write the function as $\displaystyle 10 e^{\ln (x^{\ln x})} = 10 e^{\ln (x) \cdot \ln (x)} = 10 e^{[\ln (x)]^2} $ and then apply the chain rule a couple of times.