Question

Question 11 Find the derivative of the following functions:

(i) sin x cos x

(ii) sec x

(iii) 5 sec x + 4 cos x

(iv) cosec x

(v) 3cot x + 5cosec x

(vi) 5sin x – 6cos x + 7

(vii) 2tan x – 7sec x

Class XI - Limits and Derivatives Page 313

Answer 1

1) -sin^2 x + Cos x
2)sec x .tan x
3)5secx.tanx - 4sinx
4)-cosecx.cotx
5)-3cosec^2x -5cosecx.cotx
6)5cosx + 6sinx
7)2sec^2x - 7secx.tanx

Answer 2

refer to the attachment
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formulas used
d/dx(sinx) = cosx
d/dx(cosx)= -sinx
d/dx(tanx) = sec²x

these are the basic formulas used other trigonometric formulas can be derived using these .


sorry I m unable to solve the remaining part due to lack of paper


I hope it will help you .