Find The Derivative Of cot x/2 in point x=π ?

find derivative of Cotx/2cotx2 in Point x=π

1 Answer
Jun 16, 2018

-oo.

Explanation:

We have,

f(x) = 1/2cot(x).

So, d/dxf(x) = d/dx(1/2cot(x))

= 1/2d/dx(cot(x)) [Constant's doesn't change in differentiation]

= -1/2csc^2(x) [As d/dx(cot(x)) = -csc^2(x)]

So,

The Derivative at x = pi :-

f'(pi) = -1/2csc^2(pi) = -oo [As, csc pi = oo]

Hope this helps.