Home
Class 12
MATHS
Let f:(-1,1)vecR be a differentiable fun...

Let `f:(-1,1)vecR` be a differentiable function with `f(0)=-1` and `f^(prime)(0)=1.` Let `g(x)=[f(2f(x)+2)]^2dot` Then `g^(prime)(0)dot` `-4` (b) 0 (c) `-2` (d) 4

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    RESONANCE DPP|Exercise All Questions|70 Videos

  • DETERMINANTS

    RESONANCE DPP|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

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)=

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) 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" "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

RESONANCE DPP-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. The point(s) of minimum of function, f(x)=4x^3-x|x-2|,x in [0,3] is x=...

    Text Solution

    |

  2. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive func...

    Text Solution

    |

  3. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

    Text Solution

    |

  4. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |

  5. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

    Text Solution

    |

  6. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

    Text Solution

    |

  7. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) ...

    Text Solution

    |

  8. If f(x)=prod(n=1)^(100)(x-n)^(n(101-n)),w h e r eprod(i=1)^k ai st...

    Text Solution

    |

  9. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

    Text Solution

    |

  10. fn(x)=e^(f(n-1)(x)) for all n in Na n df0(x)=x ,t h e n d/(dx){fn(x)...

    Text Solution

    |

  11. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2...

    Text Solution

    |

  12. Find (dy)/(dx) in each of the following cases: y=tan^(-1)(4x)/(1+5x^2...

    Text Solution

    |

  13. If f(x)=lim(n->oo)(3/2+[cosx](sqrt(n^2+1)-sqrt(n^2-3n+1))) whe...

    Text Solution

    |

  14. If g(x)=(2h(x)+|h(x)|)/(2h(x)-|h(x)|) where h(x)=sinx-sin^n x ,n in R...

    Text Solution

    |

  15. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  16. If y=x/(a+x/(b+x/(a+oo))),t h e nfin d(dy)/(dx)

    Text Solution

    |

  17. Find the sum of the series 1+2x+3x^2+(n-1)x^(n-2) using differentiatio...

    Text Solution

    |

  18. If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)e ...

    Text Solution

    |

  19. Let f(x)={s in2x ,0<xlt=pi//6a x+b ,pi//6<x<1 . If f(x)a n df^(prime)(...

    Text Solution

    |

  20. If f is twice differentiable such that f^('')(x)=-f(x) and f^(prime)...

    Text Solution

    |