Question

Find the derivative of cot x2 from first principle?​

Answer 1

Answer:

cot x = cos x / sin x

derivative of cot x

= sin x d/dx(cos x) - cos x d/dx(sin x)

------------------------------------------------------------

sin^2 (x)

=. - sin^2 (x) - cos^2 (x)

---------------------------------------

sin^2 (x)

= - ( sin^2 (x) + cos^2 (x) ). -1

-----------------------------------. = ---------------

sin^2 (x). sin^2 (x)

= - cosec^2 (x)

Answer 2

Answer:

if it was cotx2

Step-by-step explanation:

d/dx(cotx 2)

cotx *d/dx(2)+2*d/dx(cotx)

cotx*0+2*(-cosec²x)

0+2*(-cosec²x)

2*(-cosec²x)