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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 (-cosec2x) + cot x ( -cosec x cot x) (using derivative formulas)
= -cosec3x - cosec x cot2x
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 cosec3x - cosec x cot2x
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