Home
Class 12
MATHS
The function f(x)=sinxcos^(2)x has extre...

The function `f(x)=sinxcos^(2)x` has extremum at -

A

`x=(pi)/(2)`

B

`x=cos^(-1)((1)/(sqrt(3)))`

C

`x=cos^(-1)(sqrt((2)/(3)))`

D

`x=cos^(-1)(-sqrt((2)/(3)))`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination B|5 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination C|1 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Long Answer Type Questions|38 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

The value of a for which the function f(x)=asinx+1/3sin3x has an extremum at x=pi/3 is

The function f(x)=x^2(x-2)^2

The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find the values of a and b . Show that , the function possesses a minimum value at the extreme point.

The function f(x)=x^(2)+4x-2 has a minimum value at-

The function f(x)=4x-x^(2)-3 has a maximum value at-

If a differentiable function f(x) attains a local extremum at x=a , then -

For the function f(x)=2x^2-In|x|

The function f(x)=x^(1/3)(x-1) has two inflection points, has one point of extremum, is non-differentiable, has range [-3*2^(-8/3),oo)

At x=0 the function f(x)=x^3+1 has -

The extremum values of the function f(x)-1/(sinx+4)-1/(cosx-4) where x inR is