Question

Let f(x) = sin(x) cot(x).
(a) Use the product rule to find f ' (x).
(b) True or false: for all real numbers x, f(x) = cos(x).
(c) Explain why the function that you found in (a) is almost the opposite of the sine function,
but not quite. (Hint: convert all of the trigonometric functions in (a) to sines and
cosines, and work to simplify. Think carefully about the domain of f and the domain
of f ' .)

Answer 1

Where are you stuck at?

Answer 2

I can not solve it at all

Answer 3

Do you know what the product rule is?

Answer 4

yes I know

Answer 5

pq'+p'q

Answer 6

Then substitute values inside

Answer 7

here is the problem. I don't know how

Answer 8

p=sin(x)
q=cot(x)

Answer 9

p'=cos(x)
q'=-csc^2(x)