Home
Class 12
MATHS
Consider f,g and h be three real valued ...

Consider f,g and h be three real valued functions defined on R. Let `f(x)={:{(-1", "xlt0),(0", "x=0","g(x)(1-x^(2))andh(x) "be such that"),(1", "xgto):}` h''(x)=6x-4. Also, h(x) has local minimum value 5 at x=1
The equation of tangent at m(2,7) to the curve y=h(x), is

A

5x+y=17

B

x+5y=37

C

x-5y+33=0

D

5x-y=3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The general solution of the equation h(x)=4, is

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function g=h(x) is increasing, is

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

Suppose f,g and h be three real valued function defined on R Let f(x)=2x+|x|g(x)=(1)/(3)(2x-|x|)h(x)=f(g(x)) The range of the function k(x)=1+(1)/(pi)(cos^(-1)h(x)+cot^(-1)(h(x))) is equal to

Let f (x), g(x) be two real valued functions then the function h(x) =2 max {f(x)-g(x), 0} is equal to :

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, Number of point (s) where the graphs of the two function, y=f(x) and y=g(x) intersects in [0,pi] , is

Let a real valued function f satisfy f(x+y)=f(x)f(y)AA x,y in R and f(0)!=0 Then g(x)=(f(x))/(1+[f(x)]^(2)) is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  2. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  3. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  4. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  5. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  6. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

    Text Solution

    |

  7. consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-...

    Text Solution

    |

  8. consider the function f(x)=(x^(2))/(x^(2)-1) f has

    Text Solution

    |

  9. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then The value of x=...

    Text Solution

    |

  10. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

    Text Solution

    |

  11. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

    Text Solution

    |

  12. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  13. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  14. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  15. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  16. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  17. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  18. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |

  19. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is decreasing

    Text Solution

    |

  20. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |