Question

What is the derivative of `y=tan(x) cot(x)`?

Answer 1

`0`

Explanation:

By trigonometric identities: `cotA=cosA/sinA=1/tanA`

Therefore, `y=tanx(1/tanx)=tanx/tanx=1`
So, `dy/dx=0`

You could try and use product rule as well as the quotient rule for `1/tanx` and this should give you the same result of `0`.

Hope this helps!