Home
Class 12
MATHS
Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(...

Let `f(x) = x^2 + bx + 7`. If f'(5) = 2f'`(7/2)`, then the value of 'b' is

A

4

B

3

C

`-4`

D

`-3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = 3x^3 + 7x^5 . Find f’ (2).

Let the derivative of f(x) be defined as D^(**)f(x)=lim_(hrarr0)(f^(2)(x+h)-f^(2)(x))/(h), where f^(2)(x)={f(x)}^(2) . If u=f(x),v=g(x) , then the value of D^(**)(u.v) is

If f(x) =x^2+2x+7 , find f'(3).

Let f(x)=x^4-x^3 then find f '(2)

Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + ff(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is

Let the derivative of f(x) be defined as D^(**)f(x)=lim_(hto0)(f^(2)x+h-f^(2)(x))/(h), where f^(2)(x)={f(x)}^(2) . If u=f(x),v=g(x) , then the value of D^(**)((u)/(v)) is.

Let for a != a_1 != 0 , f(x)=ax^2+bx+c , g(x)=a_1x^2+b_1x+c_1 and p(x) = f(x) - g(x) . If p(x) = 0 only for x = -1 and p(-2) = 2 then the value of p(2) .

Suppose f(x)=e^(ax)+e^(bx), where aneb and f''(x)-2f'(x)-15f(x)=0 for all x, then the value of |a+b| is equal to......

Let A = {:[(2,3),(-1,2)] and f(x) =x^2 - 4x + 7 . Show that f(A) = O_(2xx2) . Use this result to find A^5

Let f(x) = x^3/3-x^2/2+x-16 . Find f’(0), f’(-1).

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Let f(x) = {:{(ax+3,xle2),(a^2x-1,x>2):}. Then the value of 'a' for wh...

    Text Solution

    |

  2. Let R be the set of all real numbers. Let f: R rarr R be a function s...

    Text Solution

    |

  3. Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(7/2), then the value of 'b' is

    Text Solution

    |

  4. The funtion f(x) = {:{(2x^2-1, if 1 le x le 4),(151-30x, if 4 < x le 5...

    Text Solution

    |

  5. Let f(x) be a differentiable function and f'(4) = 5, then: underset(xr...

    Text Solution

    |

  6. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

    Text Solution

    |

  7. If y=(1+x)(1+x^2)(1+x^4), then dy/dx at x = 1 is

    Text Solution

    |

  8. The value of d/dx{tan^-1(cosx)} for x= 30 is equal to

    Text Solution

    |

  9. If f(x) = {:{((x^2-(a+2)x+a)/(x-2), x ne2),(2,x=2):} is continuous at ...

    Text Solution

    |

  10. Let g(x) = ((x-1)^3)/(log(x-1)) Find g(5).

    Text Solution

    |

  11. Let y be an implict function of x defined by x^(2x) - 2x^x cot y -1 =0...

    Text Solution

    |

  12. Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and ...

    Text Solution

    |

  13. If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...

    Text Solution

    |

  14. If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi, ...

    Text Solution

    |

  15. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is a. differ...

    Text Solution

    |

  16. If y = sec(tan^-1x), then dy/dx at x =1 is equal to

    Text Solution

    |

  17. If g is te inverse of a function f and f'(x) = 1/(1+x^5) then g'(x) is...

    Text Solution

    |

  18. If the function g(x) = {{:(k sqrt(x + 1)",", 0 le x le 3),(mx + 2",",3...

    Text Solution

    |

  19. For x in R, f(x) = |log 2 - sin x| and g(x) = f(f(x)), then

    Text Solution

    |

  20. A function f: R rarr R is defined as follows: f(x) = {:{(x,ifxle1),(...

    Text Solution

    |