Question

Derivative of cot x° with respect to x is ____________.

Options

• cosec x°

• cosec x° cot x°

• -1° cosec2 x°

• -1° cosec x° cot x°

Answer 1

Derivative of cot x° with respect to x is -1° cosec2 x°.

Explanation:

as `"x"^circ = pi/180 "x"^"c"`

`therefore "d"/"dx" ("cot x"^circ) = "d"/"dx" ("cot" pi/180 "x")`

`= pi/180 "cosec"^2 pi/180 "x"`

`= -1^circ "cosec"^2 pi/180 "x" = -1^circ "cosec"^2 "x"^circ`