Question 8 of 71intermediate🔧 ApplyShort Answer7 marks
Find the derivative of the following functions:
(i)
Answer
cos 2x
(ii)
Answer
sec x tan x
(iii)
Answer
5 sec x tan x - 4 sin x
(iv)
Answer
-cosec x cot x
(v)
Answer
-3 cosec²x - 5 cosec x cot x
(vi)
Answer
5 cos x + 6 sin x
(vii)
Answer
2 sec²x - 7 sec x tan x
Explanation
This question tests application of derivative rules for trigonometric functions. Students must apply the product rule for part (i), quotient rule for parts (ii) and (iv), and sum/difference rules for remaining parts. The context provides key derivatives: d/dx(tan x) = sec²x and d/dx(cot x) = -cosec²x, along with product and quotient rule formulas.