Question 1:Find the derivative of the following functions from first principle: (i) −x (ii) 1 ( x)− − (iii) sin (x + 1) (iv) cos (x – 8 ) 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):
Question 2:(x + a)
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Question 3:(px + q) r s x +
Question 4:( )( )2 ax + b cx + d
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Question 5:ax b cx d + +
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Question 7:2 1 ax + bx + c
Question 8:2 ax b px qx r + + +
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Question 9:2 px qx r ax b + + +
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Question 12:( )n ax + b
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Question 13:( ) ( ) n m ax + b cx + d
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Question 15:cosec x cot x
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Question 16:cos 1 sin x + x
Question 17:sin cos sin cos x x x x + −
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Question 18:sec 1 sec 1 x x − +
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Miscellaneous Exercise on Chapter 131. Find the de
Question 20:sin cos a b x c d x + +
Question 21:sin( ) cos x a x +
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Question 22:x4 (5sin x − 3cos x)
Question 23:( 2 ) x +1 cos x
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Question 24:( 2 )( ) ax + sin x π + q cos x
Question 25:(x + cos x) (x − tan x)
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Question 27:2 cos 4 sin x x
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Question 28:1 tan x + x
Question 29:(x + sec x) (x − tan x) 30. sinn x x
