Home
Class 12
MATHS
If f(y)=f(x^(2)+2) and f'(3)=5, then (dy...

If `f(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

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise Latest Question from AIEEE/JEE Examinations|7 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos

Similar Questions

Explore conceptually related problems

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

If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

If f(x)=f'(x) and f(1) =2 , then f(3) equals :

If y=f((3x+4)/(5x+6))andf'(x)=tanx^(2), then (dy)/(dx) is equal to

If f(x)=2 x^(2)+x+1 and g(x)=3 x+1 then f o g(2)

If f(x)=3 x-5 , then f^(-1)(x)=

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

If f '(x) = cos (log x) and y = f((2x-3)/(2x+5)) then dy/dx =

If f(x) = (x^(2)-x)/(x^(2)+2x) , then d/dx [f^(-1)(x)] =

MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -RCQs (Questions from Karnataka CET & COMED)
  1. The derivative of "tan"^(-1)(sinx)/(1+cosx) w.r.t. "tan"^(-1)(cosx)/(1...

    Text Solution

    |

  2. d/(dx)[cos^(2)(cot^(-1)sqrt((2+x)/(2-x)))]

    Text Solution

    |

  3. If f(x)=((sin^(2)x)/(1+cotx))+(cos^(2)x)/(1+tan), then f'((pi)/(4)) is...

    Text Solution

    |

  4. If cos^(-1)((y)/(b))=nlog((x)/(n)), then :

    Text Solution

    |

  5. f(x)=2a-x in -altxlta=3x-2a in a lex. Then which of the following i...

    Text Solution

    |

  6. If x+y=tan^(-1)y" and "(d^(2)y)/(dx^(2))=f(y)(dy)/(dx), then f(y)=

    Text Solution

    |

  7. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

    Text Solution

    |

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

    Text Solution

    |

  9. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

    Text Solution

    |

  10. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  11. Which of the following functions is differentiable at x=0. ?

    Text Solution

    |

  12. If x=a(cost+logtant//2),y=asint, then (dy)/(dx)=

    Text Solution

    |

  13. If f(x)=xtan^(-1)x, then lim(xto1)(f(x)-f(1))/(x-1)=

    Text Solution

    |

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

    Text Solution

    |

  15. If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2)...

    Text Solution

    |

  16. If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...

    Text Solution

    |

  17. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

    Text Solution

    |

  18. If x = ct and y=c/t, find (dy)/(dx) at t=2.

    Text Solution

    |

  19. If y = log ((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  20. If f(x) = log(x^(2)) (log(e) x) "then f' (x) at x= e" is

    Text Solution

    |