Does Matlab automatically use Logarithmic differentiation?

I want use logarithmic differentiation for the equation below. Does Matlab automatically use logarithmic differentiation or will I have to change the eqution to do so?

EDU>> syms x

EDU>> y = (2*x + 3)^2/(x^2 + 3)^0.5

y =

(2*x + 3)^2/(x^2 + 3)^(1/2)

EDU>> diff(y)

ans =

(8*x + 12)/(x^2 + 3)^(1/2) - (x*(2*x + 3)^2)/(x^2 + 3)^(3/2)

Thanks