tolong ya nomor empat belas

[tex]\displaystyle f(x)=x^{x^2}\\f(x)=e^{\ln x^{x^2}}\\f(x)=e^{x^2\ln x}\\\\f'(x)=(2x\ln x+x^2\cdot\frac{1}x)e^{x^2\ln x}\\f'(x)=(2x\ln x+x)e^{x^2\ln x}\\f'(x)=(2x\ln x+x)e^{\ln x^x^2}\\f'(x)=x^{x^2}(2x\ln x+x)\\\\f'(2)=2^{2^2}(2(2)\ln 2+2)\\f'(2)=16(4\ln 2+2)\\\boxed{\boxed{f'(2)=32(2\ln 2+1)}}[/tex]