Home
Class 12
MATHS
Let f(x) = x [x], where [*] denotes the ...

Let `f(x) = x [x],` where [*] denotes the greatest integer function, when x is not an integer then find the value of `f prime (x) `

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|64 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x[x], where [^(*)] denotes the greatest integer function,when x is not an integer then find the value of f'(x)

If f(x)=[2x], where [.] denotes the greatest integer function,then

Let f(x)=[|x|] where [.] denotes the greatest integer function, then f'(-1) is

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x)=[|x|], wherel.] denotes the greatest integer function,then f'(-1) is

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

Let f(x)=[x]+sqrt(x-[x]), where [.] denotes the greatest integer function.Then

If f(x) = [x] - [x/4], x in R where [x] denotes the greatest integer function, then