DifferentiationHard
Question
If f(x) = cos 
, - 1 < x < 2 and [x] is the greatest integer less than or equal to x, then f′ 
is equal to
, - 1 < x < 2 and [x] is the greatest integer less than or equal to x, then f′ is equal toOptions
A.0
B.1
C.1/2
D.1/√2
Solution
∵ 1 < 
< 2
∴ If x =
⇒ [x] = 1
so, f(x) = sin x3 ⇒ f′(x) = 3x2 cos x3
∴ f′
< 2∴ If x =
⇒ [x] = 1so, f(x) = sin x3 ⇒ f′(x) = 3x2 cos x3
∴ f′
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