Home
Class 11
MATHS
If rolle's theorem for f(x) =e^(x) (...

If rolle's theorem for `f(x) =e^(x) (sin x-cos x) ` is verified on `[(pi)/(4),5(pi)/(4)]` , then the value of c is

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`3(pi)/(4)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    MARVEL PUBLICATION|Exercise MCQs|51 Videos

  • QUESTION PAPER 2017

    MARVEL PUBLICATION|Exercise QUESTION|50 Videos

Similar Questions

Explore conceptually related problems

Verify Rolle's theorem for f(x)=x,x in[1,2] .

Verify Rolles theorem for function f(x)=e^(x)sin x on [0,pi]

Knowledge Check

  • If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)/4,(5pi)/4] then the value of C is

    A
    `(pi)/3`
    B
    `(pi)/2`
    C
    `(3pi)/4`
    D
    `pi`

  • Values of c of Rolle's theorem for f(x)=sin x-sin 2x on [0,pi]

    A
    `cos^(-1)((1+sqrt(3))/8)`
    B
    `cos^(-1)((1+sqrt(35))/8)`
    C
    `cos^(-1)((1-sqrt(38))/8)`
    D
    does not exist

    • Similar Questions

    Explore conceptually related problems

    Verify Rolles theorem for the function: f(x)=e^(x)(sin x-cos x) on [pi/4,5 pi/4]

    Verify Rolles theorem for function f(x)=4^(sin x) on [0,pi]

    Verify Rolle's theorem for the function f(x)=e^(x) sin 2x [0, pi/2]

    Verify Rolles theorem for function f(x)=sin x+cos x on [0,pi/2]

    f(x)=int x^(sin x)(1+x cos x*ln x+sin x)dx and f((pi)/(2))=(pi^(2))/(4) Then the value of |cos(f(pi))| is

    Verify Rolle's theorem for each of the following functions : f(x) = e^(-x) (sin x - cos x) " in " [(pi)/(4), (5pi)/(4)]

    Home
    Profile