Question

Question 15 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): cosec x cot x

Class XI - Limits and Derivatives Page 317

Answer 1

we know
d/dx(cosecx) = -cosecx cotx
d/dx(cotx) = -cosec²x

apply product rule here

f(x) = cosecx cotx
f'(x) = cosecx d/dx(cotx) + cotx d/dx(cosecx)
= cosecx (-cosec²x) + cotx ( - cosecx cotx) -

=> - cosec³x - cosecx cot²x

Answer 2

Hope This Helps You!!