Determine the derivative of f(x)=x⋅5xf(x) = x \cdot 5^xf(x)=x⋅5x.
5x(1+xln5)5^x(1 + x \ln 5)5x(1+xln5)
5x+x5x5^x + x 5^x5x+x5x
x5xln5x 5^x \ln 5x5xln5
5x(1+x)5^x(1 + x)5x(1+x)