Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

y = x^2/In x

Dy/Dx=x (2 ln (x) - 1) / ln ^2 (x)

Step-by-step explanation:

We have this function and let's derive it in terms of x.

y = x^2/In x

Dy/Dx = (x^2/In x) '=2/lnx * (x^2) ' - (x^2/In x) '=> 2 x * ln (x) - x * ln ^2 (x) = x (2 ln (x) - 1) / ln ^2 (x)