Home
Class 12
MATHS
Find the intervals of monotonicity of...

Find the intervals of monotonicity of the following `f(x)=2x^2-"ln"|x|`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Compute the intervals of monotonicity for the following f(x)=x+ln(1-4x)

Find the intervals of monotonicity of the following functions. (i) f(x) =-x^(3) +6x^(2)-gx-2 (ii) f(x) =x+(1)/(x+1) (iii) f(x) =x. e^(x-x^(2)) (iv) f(x) =x- cosx

Determine the intervals of monotonicity for the following functions : f(x) = ln |x|,

Find the intervals of monotonicity of the function y=2x^2-log|x|, x!=0

Find the intervals of monotonicity for the following fucntions. (i) (x^(4))/(4)+(x^(3))/(3)-3x^(2)+5 " "(ii) log_(3)^(2) x+ log_(3)x

Determine the intervals of monotonicity for the following functions : f(x) =x^(2)e^(-x)

Determine the intervals of monotonicity for the following functions : f(x) = 2x^(3) -9x^(2) -24x +7 ,

Determine the intervals of monotonicity for the following functions : f(x) =4x^(3)-21x^(2)+18 x +20 ,

Determine the intervals of monotonicity for the following functions : f(x) =e^(x) +5x

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. If f is a continuous function on the interval [a,b] and there exists ...

    Text Solution

    |

  2. Prove that following inequalities sinxlt=xlt=tanx\ AA\ in [0,pi/2...

    Text Solution

    |

  3. Find the intervals of monotonicity of the following f(x)=2x^2-"ln"|...

    Text Solution

    |

  4. Let f(x) be a increasing function defined on (0,\ oo)dot If f...

    Text Solution

    |

  5. Prove that f(x)=x/(sinx) is an increasing function while g(x)=x/...

    Text Solution

    |

  6. Let f(x)=x^3+2x^2+x+5. Show that f(x)=0 has only one real roo...

    Text Solution

    |

  7. Prove that ln (1+1/x) gt (1)/(1+x), x gt 0. Hence, show that the fun...

    Text Solution

    |

  8. For what values of a , does the function f(x)=((sqrt(a+5))/(1-a)...

    Text Solution

    |

  9. The minimum value of the function f(x)=x^(3//2)+x^(-3//2)-4(x+1/x) ...

    Text Solution

    |

  10. Prove that tan^2x+6lns e c x+2cosx+4>6secx for x\ in ((3pi)/2,\...

    Text Solution

    |

  11. f is continuous in [a, b] and differentiable in (a, b) (where a>0 ) su...

    Text Solution

    |

  12. f(x) and g(x) are differentiable functions for 0 <= x <= 2 such that f...

    Text Solution

    |

  13. Consider the function f(x)={xsinpi/x ,forx >0 0,forx=0 The, the numb...

    Text Solution

    |

  14. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  15. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  16. Using the relation 2(1-cosx)<x^2,x!=0 or otherwise, prove that s in(t ...

    Text Solution

    |

  17. Given a function f:[0,4]toR is differentiable ,then prove that for som...

    Text Solution

    |

  18. If f(x)={(x^(alpha)logx , x > 0),(0, x=0):} and Rolle's theorem is ap...

    Text Solution

    |

  19. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  20. Using Rolles theorem, prove that there is at least one root in (45^(1/...

    Text Solution

    |