Home
Class 11
MATHS
If y=f(x^(2)+2) " and " f'(3)=5, " then ...

If `y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx)` at x=1 is

A

5

B

25

C

15

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-A (1 MARK)|6 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-B (2 MARKS)|4 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.4|28 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

If y=f(x^2+2)" and "f'(6)=5 then (dy)/(dx) at x=2 is

y=f((2x-1)/(x^2+1)) and f^'(x)=sinx^2 then (dy)/(dx)

If y = f(x^(2)+x+1) and f'(2) = 7 find dy/dx at x =2 is:

The I.F of (dy)/(dx)-y tan x=cos x is

If f'(x)=3x^2 -4x+5" and "f(1)=3 , then find f(x) .

If f'(x) = 3x^2 - 4x + 5 and f(1) = 3 then find f(x).

If f^(prime)(x)=sqrt(2x^2-1)a n dy=f(x^2),t h e n(dy)/(dx)a tx=1 is 2 (b) 1 (c) -2 (d) none of these

If f(x) = |cos x| + |sin x| , then dy/dx at x = (2pi)/3 is equal to

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

SURA PUBLICATION-DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 10.5
  1. d/(dx)(2/pisinx^(@)) is

    Text Solution

    |

  2. If y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx) at x=1 is

    Text Solution

    |

  3. If y=1/4u^(4) " and " u=2/3x^(3)+5, " then " (dy)/(dx) is

    Text Solution

    |

  4. If f(x)=x^(2)-3x, then the points at which f(x)=f'(x) are

    Text Solution

    |

  5. If y=1/(a-z), " then " (dz)/(dy) is

    Text Solution

    |

  6. If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

    Text Solution

    |

  7. If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is

    Text Solution

    |

  8. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  9. d/dx(e^(x+5logx))

    Text Solution

    |

  10. If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...

    Text Solution

    |

  11. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  12. If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  13. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  14. If f(x)=x+2, " then " f'(f(x)) at x=4 is

    Text Solution

    |

  15. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

    Text Solution

    |

  16. If pv = 81, then (dp)/(dv) at v=9 is

    Text Solution

    |

  17. If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...

    Text Solution

    |

  18. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

    Text Solution

    |

  19. If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...

    Text Solution

    |

  20. If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...

    Text Solution

    |