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 ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • MATRICES

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

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|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 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 Range of function sin^(-1)sqrt((fog(x))) is

Consider f,g and h be three real valued functions defined on R. Let f(x)={:{(-1", "xlt0),(0", "x=0"),(1", "xgto):} "g(x)(1-x^(2))andh(x) "be such that" h''(x)=6x-4. Also, h(x) has local minimum value 5 at x=1 The area bounded by y=h(x),y=g(f(x))between x=0 and x=2 equals

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). h(x) = 4

Consider f, g and h be three real valued function defined on R. Let f(x)= sin 3x + cos x , g(x)= cos 3x + sin x and h(x) = f^(2)(x) + g^(2)(x) Q. General solution of the equation h(x) = 4 , is : [where n in I ]

Consider f, g and h be three real valued function defined on R. Let f(x)= sin 3x + cos x , g(x)= cos 3x + sin x and h(x) = f^(2)(x) + g^(2)(x) Q. General solution of the equation h(x) = 4 , is : [where n in I ]

Let f and g be two real values functions defined by f(x)= x + 1 and g(x) = 2x-3 . Find 1) f+g , 2) f-g , 3) f/g

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

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 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

Consider f,g and h be three real valued differentiable functions defined on R. Let g(x)=x^(3)+g''(1)x^(3)+(3g'(1)-g''(1)-1)x+3g'(1) f(x)=xg(x)-12x+1 and f(x)=(h(x))^(2), where g(0)=1 The function y=f(x) has

ARIHANT MATHS ENGLISH-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 Use the fact 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 ...

    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 increasing or decre...

    Text Solution

    |

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

    Text Solution

    |