Home
Class 12
MATHS
If graph of y=f(x) is symmetrical about ...

If graph of `y=f(x)` is symmetrical about the point `(5,0)` and `f^(prime)(7)=3,` then the value of `f^(prime)(3)` is__________

Text Solution

Verified by Experts

We have f(5-x)=-f(5+x)or -f'(5-x)=-f'(5+x)
`"or "f'(5-2)=f'(5+2)or f'(3)=f'(7)=3`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise JEE Previous Year|15 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Multiple Correct Answers Type|3 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise (Matrix)|5 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|25 Videos

  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

If graph of y=f(x) is symmetrical about the point (5,0) and f'(7)=3, then the value of f'(3) is

If the graph of the function y=f(x) is symmetrical about the line x=2, then

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

If the graph of a function f(x is symmetrical about the line x = a, then

If the graph of non-constant function is symmetric about the point (3,4), then the value of sum_(r=0)^(6)f(r)+f(3) is equal to

If y=f(x) is symmetric about the lines 3x+4y+1=0 and 4x-3y-7=0 then it must be symmetric about

If the graph of y=f(x) is symmetrical about the lines x=1andx=2, then which of the following is true? (a) f(x+1)=f(x)( b) f(x+3)=f(x)(c)f(x+2)=f(x)(d) None of these

Let f(x)=(sqrt(2)^(x)-2)/(sqrt(2)^(x)+2) then if the graphs of y=f(x) and y=f(4x) are symmetrical about the points (a_(1),0) and (a_(2),0) respectively then (a_(2))/(a_(1))=

CENGAGE-DIFFERENTIATION-Exercise (Numerical)
  1. f^(prime)(x)=varphi^(prime)(x)=f(x) for all xdot Also, f(3)=5a n df^(p...

    Text Solution

    |

  2. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  3. If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

    Text Solution

    |

  4. If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...

    Text Solution

    |

  5. Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value ...

    Text Solution

    |

  6. y=f(x) , where f satisfies the relation f(x+y)=2f(x)+x y(y)+ysqrt(f(x)...

    Text Solution

    |

  7. If function f satisfies the relation f(x)xf^(prime)(-x)=f(-x)xf^(prime...

    Text Solution

    |

  8. If y=(a+b x^(3/2))/(x^(5/4))a n dy^(prime)=0a tx=5, then the value o...

    Text Solution

    |

  9. lim(hrarr0) ((e+h)^(In(e+h))-e)/(h) is-

    Text Solution

    |

  10. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  11. Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...

    Text Solution

    |

  12. A nonzero polynomial with real coefficients has the property that f(x)...

    Text Solution

    |

  13. A function is reprersented parametrically by the equations x=(1+t)/(t^...

    Text Solution

    |

  14. Let z=(cosx)hat5a n dy="sin"xdot Then the value of 2(d^2z)/(dy^2)a tx=...

    Text Solution

    |

  15. Let g(x)={(x^2+xtanx-xtan2x)/(a x+tanx-tan3x),x!=0 0,x=0 If g^(prime)...

    Text Solution

    |

  16. Let f(x)=x+1/(2x+1/(2x+1/(2x+oo))) Compute the value of f(50)dotf^(p...

    Text Solution

    |

  17. Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) are...

    Text Solution

    |

  18. "If "y=(root(3)(1+3x)root(4)(1+4x)root(5)(1+5x))/(root(7)(1+7x)root(8)...

    Text Solution

    |

  19. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

    Text Solution

    |

  20. Let f:""(1,""1)vecR be a differentiable function with f(0)""=""1""a...

    Text Solution

    |