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# 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

**Solution:**

The given function is f(x) = cosec x cot x.

Using the product rule, its derivative is,

d/dx (f(x)) = cosec x d/dx (cot x) + cot x d/dx (cosec x)

= cosec x (-cosec^{2}x) + cot x ( -cosec x cot x) (using derivative formulas)

= -cosec^{3}x - cosec x cot^{2}x

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME 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

**Summary:**

The derivative of the given function cosec x cot x is cosec^{3}x - cosec x cot^{2}x

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