Home
Class 12
MATHS
If f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^...

If `f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^(3))))+tan^(-1)(ln(e^(4)x^(3))/(ln(e//x^(12))))(AA x ge e)` incorrect statement is

A

`f(x)` is a constant function

B

`f(x) ge0`

C

`f(x)` is an even function

D

`f(x) gepi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 61

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 63

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If y=tan^(-1)[(log(e//x^(3)))/(log(ex^(3)))]+tan^(-1)[(log(e^(4)x^(3)))/(log(e//x^(12)))]," then "(d^(2)y)/(dx^(2))=

(d)/(dx)[(tan^(-1)(log((e)/(x^(2)))))/(log(ex^(2)))]=

If y=tan ^(-1) ((log ( (e)/( x^(3))) )/( log ( ex^(3)) ) ),then (dy)/(dx) =

If y=tan ^(-1) ((log (ex))/( log ((e)/( x)))) ,then (dy)/(dx) =

Statement -1: If xltsqrt(e ) then cot^(-1){log(e//x^(2))/log(ex^(2))}+cot^(-1){log(ex^(4))/log(e^(2)//x^(2)))}=pi-tan^(-1)3 statement 2: tan^(-1)(x+y)/(1-xy)=tan^(-1)x+tan^(-1)y if xylt1

If f(x)=cos^(-1){(1-(log_(e)x)^(2))/(1+(log_(e)x)^(2))} , then f'( e )

(d)/(dx)[log((e^(4x))/(1+e^(4x)))]

(d)/(dx)[tan^(-1)((log(ex))/(log(e//x)))]=(1)/(xf(x))," then "f(x)=

f(x)=tan^(-1){(log((e)/(x^(2))))/(log(ex^(2)))}+tan^(-1)((3+2log x)/(1-6log x)) then find (d^(n)y)/(dx^(n))

NTA MOCK TESTS-NTA JEE MOCK TEST 62-MATHEMATICS
  1. If (pi)/(2)lt alpha lt (3pi)/(4), then sqrt(2tan alpha+(1)/(cos^(2)alp...

    Text Solution

    |

  2. The sum of all the solutions in [0, 100] for the equation sin pi x+cos...

    Text Solution

    |

  3. If f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^(3))))+tan^(-1)(ln(e^(4)x^(3))...

    Text Solution

    |

  4. The function f(x)=(sinx)^(tan^(2)x) is not defined at x=(pi)/(2). The ...

    Text Solution

    |

  5. Which of the following statements is not a tautology?

    Text Solution

    |

  6. The area between the curves x=4y-y^(2) and 0 is lambda square units, t...

    Text Solution

    |

  7. If I(n)=int(0)^(2)(2dx)/((1-x^(n))), then the value of lim(nrarroo)I(n...

    Text Solution

    |

  8. The solution of the differential equation (1-x^(2))(dy)/(dx)-xy=1 is (...

    Text Solution

    |

  9. The maximum value of f(x)=(sin2x)/(sinx+cosx) in the interval (0, (pi)...

    Text Solution

    |

  10. The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C ...

    Text Solution

    |

  11. Let L(1):x=y=z and L(2)=x-1=y-2=z-3 be two lines. The foot of perpendi...

    Text Solution

    |

  12. If veca, vecb and vecc are three vectors, such that |veca|=2, |vecb|=3...

    Text Solution

    |

  13. If A is a skew symmetric matrix of order 3, B is a 3xx1 column matrix ...

    Text Solution

    |

  14. Let P(1),P(2) and P(3) are the probabilities of a student passing thre...

    Text Solution

    |

  15. Let A-=(6,7),B-=(2,3)a n dC-=(-2,1) be the vertices of a triangle. Fin...

    Text Solution

    |

  16. If the chord of contact of the tangents from the point (alpha, beta) t...

    Text Solution

    |

  17. Tangents are drawn at the end points of a normal chord of the parabola...

    Text Solution

    |

  18. Find the value of k for which the point P(2, k) on the ellipse x^2 +2y...

    Text Solution

    |

  19. The value of lim(xrarr1)(root5(x^(2))-2root5x+1)/((x-1)^(2)) is equal ...

    Text Solution

    |

  20. Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)], where x, y, z in N. If |adj(a...

    Text Solution

    |