Question

derivative of the function f(x)=cos(x)/sin(x)?

Answer 1

What can cos(x)/sin(x) be rewritten as?

Answer 2

or you can use the quotient rule to find the derivative.

Answer 3

Nobody likes the quotient rule though haha.

Answer 4

pjschlotter is hinting that you can write you function f(x) as the cot(x). if you know the derivative of that function then you are done.

Answer 5

easy way to remember derivatives of "co" functions: replace the derivative of the function by the "co" function and stick a minus sign in front .
so if you remember derivative of tangent is secant squared, then the derivative of cotangent must be minus cosecant squared

Answer 6

course if you don't know one, you will not know the other