Differentiate: a) y= x^2/ sinx

b) y= In(2x^3+x)

3 answers

I will be happy to critique your work here. These are standard formulas.
a) =2x^1(x^2)/xcos(sinx)?
I can't see you you came up with that very strange looking answer.

As bobpursley pointed out, this is a direct application of the quotient rule
I got
dy/dx = (2x sinx - x^2 cosx)/(sin^2 x)

simplification would leave to several final versions of an answer, certainly not yours.

the 2nd is even easier.

dy/dx = (6x^2+1)/(2x^3 + x)