Home
Class 12
MATHS
Let f : (-1,1) to R be a differentiabale...

Let f : (-1,1) `to` R be a differentiabale function with f(0) = -1 and f'(0) = 1. Let
g(x) = `[f(2f(x)+2)]^(2)` , then g'(0)=

A

0

B

-2

C

4

D

-4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

Let f : (-1,1) to R be a differentiable function with f(0) =-1 and f'(0)=1 Let g(x)= [f(f(2x)+1)]^2 . Then g'(0)=

Let f:(-1,1)rarr R be a differentiable function with f(0)=-1 and f'(0)=1. Let g(x)=[f(2f(x)+2)]^(2)* Then g'(0)*-4(b)0(c)-2 (d) 4

Let f:""(1,""1) rarr R be a differentiable function with f(0)""=""-1" "a n d" "f'(0)""=""1 . Let g(x)""=""[f(2f(x)""+""2)]^2 . Then g'(0)""= (1) 4 (2) 0 (3) 2 (4) 4

Let f : (-5,5)rarrR be a differentiable function of with f(4) = 1, f'(4)=1, f(0) = -1 and f'(0) = If g(x)=(f(2f^(2)(x)+2))^(2), then g'(0) equals

TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

    Text Solution

    |

  2. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  3. Let f : (-1,1) to R be a differentiabale function with f(0) = -1 and f...

    Text Solution

    |

  4. given y=(5x)/(3*sqrt(1-x)^2)+cos^2(2x+1),find dy/dx

    Text Solution

    |

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

    Text Solution

    |

  6. If f (x) = log(x) (log x), then f'(x) at x = e is …….. .

    Text Solution

    |

  7. If f(x)=sqrt(1+cos^2(x^2)),thenf'(sqrtpi/2) is

    Text Solution

    |

  8. If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4)...

    Text Solution

    |

  9. d/(dx)tan^-1((1-x)/(1+x))=

    Text Solution

    |

  10. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

    Text Solution

    |

  11. If y=tan^(-1)[(sinx-cosx)/(cosx-sinx)] then (dy)/(dx) is

    Text Solution

    |

  12. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

    Text Solution

    |

  13. यदि y= sec tan ^(-1) x, तब (dy)/(dx) =

    Text Solution

    |

  14. the derivative of tan^-1 (6xsqrtx)/(1-9x^3) is sqrtx g(x) then g(x) is...

    Text Solution

    |

  15. If y= e^(m sin ^(-1)) x and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then ...

    Text Solution

    |

  16. If y=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))], find (dy)/(dx),

    Text Solution

    |

  17. Find (dy)/(dx) when(y-tan^(- 1))x/(1+sqrt(1-x^2))+sin[2tan^(- 1)sqrt((...

    Text Solution

    |

  18. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  19. What is the derivative of tan^(-1)((sqrtx-x)/(1+x^(3//2))) at x = 1?

    Text Solution

    |

  20. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

    Text Solution

    |