Continuity and DifferentiabilityHard

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

Options

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′

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

The function f(x) = x &#8722; | x | is not differentiable at...If y = b sin {n log (x/n)} then which statement is true -...If y = then equals -...If f(x) = x3 sin x, then -...Let f(x) = | x | and g(x) = |x3|, then -...