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 CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS|4 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 4 (Differentiate the following)|28 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 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

FULL MARKS-DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 5 (Choose the correct or the most suitable answer from the given four alternatives.)
  1. (d)/(dx) ((2)/(pi) sin x^@) 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)/(4) mu^(4), mu= (2)/(3) x^(3) +5, then (dy)/(dx) is...........

    Text Solution

    |

  4. If f(x) = x^(2) -3x, then the point 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 ( sin x^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 + 5 log x)) is …........... .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............

    Text Solution

    |

  13. The differential coefficient of log(m) x with respect to log(x) m 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 underset(x to a) (lim) (x f(a) - 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 underset( x to 0) (lim) ...

    Text Solution

    |