Question: differentiating cosec and cot

Hi Maple friends.

I am trying to differentiate these:

1. csc(x)/x

2. 3*x^2*cot(x)

From doing it by hand, I am getting:

1. -cosec(x)*(xcot(x) + 1)

2. 6x*cot(x) - 3x^2*cosec^2(x)

But Maple is giving the answer:

1. diff(csc(x)/x, x);


2. diff(3*x^2*cot(x), x);


My answers don't look like Maple's answers. Are they actually the same?

Thanks in advance.


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