Question

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

y =x^2/In x

Answer 1

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

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)