Home
Class 12
MATHS
Prove that the function f(x) = tan x -4x...

Prove that the function `f(x) = tan x -4x` is strictly decreasing on `(- (pi)/(3), (pi)/(3))`.

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

Similar Questions

Explore conceptually related problems

Show that the function f(x) = cos^(2) x is strictly decreasing on (0, (pi)/(2)) .

If a is a real number such that 0 lt a lt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

Prove that the function f given by f(x) = logsin x is strictly increasing on (0,pi/2) and strictly decreasing on (pi/2,pi)

Find the interval for which the function f(x) = tanx- 4 (x- 2) is increasing and decreasing in (-pi/2,pi/2) .

Prove that f(x) = (3)/(x) + 7 is strictly decreasing for x in R, (x ne 0) .

Prove that the function given by f(x) = x^3 – 3x^2 + 3x – 100 is increasing in R.

Find the intervals where the function f(x)=tanx-4(x-2) is increasing and decreasing on (-frac[pi][2],frac[pi][2])

ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION B (60 MARKS)
  1. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

    Text Solution

    |

  2. Answer any three questions (e) If a gt b gt c gt0, then prove that c...

    Text Solution

    |

  3. A bag contains 6 black and 3 white balls. Another bag contains 5 black...

    Text Solution

    |

  4. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |

  5. Answer any three questions (c) If [{:(2,-1),(1,0),(-3,4):}]A = [{:(-...

    Text Solution

    |

  6. If A = [{:(2,5),(2,1):}] and B = [{:(4,-3),(2,5):}], verify that |AB| ...

    Text Solution

    |

  7. The odds against A solving a certain problem are 4 to 3 and the odds i...

    Text Solution

    |

  8. Find the equations of all the lines of slope 2 and that are tangent to...

    Text Solution

    |

  9. Prove that the function f(x) = tan x -4x is strictly decreasing on (- ...

    Text Solution

    |

  10. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

    Text Solution

    |

  11. If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).

    Text Solution

    |

  12. Verify Rolle.s theorem for f(x) = (sin x)/( e^(x)) on 0 le x le pi.

    Text Solution

    |

  13. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

    Text Solution

    |

  14. Solve (x+1) (dy)/(dx) = 2xy.

    Text Solution

    |

  15. Evaluate int e^(x) ((1- sin x)/( 1- cos x) ) dx

    Text Solution

    |

  16. Find the area of the region bounded by the curve y=x^(3) and the lines...

    Text Solution

    |

  17. Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 ...

    Text Solution

    |

  18. Answer any three questions (b) Find the vector equation of the plane...

    Text Solution

    |

  19. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  20. Find the equation in vector and Cartesian from of the plane passing th...

    Text Solution

    |