Home
Class 12
MATHS
If f(0)=0,f'(0)=2 then what is the deri...

If `f(0)=0,f'(0)=2` then what is the derivative of `y = f(f(f(f(x))))` at x=0.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If f (x+y)=f(x)f(y) for all real x,y,f(2)=3,f'(0)=1 then what is the value of f'(2) ?

If f(x) =| x |, what is the value of f(0-)?

Let f(x)=x|x|,AA x in R . Discuss the derivability of f(x) at x=0 .

If int_0^1f(1-x)dx=2 ,then what is the value of int_0^(1//2)f(2t)dt

If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

If f(x)=int(dx)/((1+x^2)^ (3/2) and f(0)=0 then what is the value of f(1)?

What is the value of int_0^pi((f(x))/(f(x)+f(pi/2-x)))dx ?

If f(x)={(x,0lexle1),(2-x,1lexle2):} , then what is the value of int_0^2f(x)dx ?

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

    Text Solution

    |

  2. Write that condition of Rolle’s theorem which is violated by the funct...

    Text Solution

    |

  3. If f(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at...

    Text Solution

    |

  4. If y = tan^(-1)(1/(1+x+x^2)) + tan^(-1)(1/(x^2+3x+3)) + tan^(-1)(1/(x^...

    Text Solution

    |

  5. If x=a(cos t + log tan (t/2)),y=a sin t, then what is (d^2y)/(dx^2) at...

    Text Solution

    |

  6. What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...

    Text Solution

    |

  7. If f(x)=|logx| then for x!=1, then what is f'(x)?

    Text Solution

    |

  8. If y=|cosx|+|sinx| then what is (dy)/(dx) at x = (2pi)/3 ?

    Text Solution

    |

  9. If f(x)=logx^(2)(logx), then f(e)

    Text Solution

    |

  10. If y = tan^(-1)[(x/log ex^3)] + tan^(-1)[(5 + 3logx)/(1-15logx)] then ...

    Text Solution

    |

  11. If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at...

    Text Solution

    |

  12. What is the value ofthe derivative of f(x)=|x-1|+|x-3| at x=2?

    Text Solution

    |

  13. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

    Text Solution

    |

  14. Write the derivative of e^(3 logx) "w.r.t.x"^(2)

    Text Solution

    |

  15. Differentiate a^(lnx) w.r.t x ^(2).

    Text Solution

    |

  16. If x = int0^y (1/sqrt(1+4t))dt then what is the value of (d^2y)/(dx^...

    Text Solution

    |

  17. If xandy are variables related by the equation x=int0^y(1/(sqrt(1+9u^2...

    Text Solution

    |

  18. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  19. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then find (dy)/(dx).

    Text Solution

    |

  20. Differentiate sin^(-1)(cosx)"w.r.t.x"

    Text Solution

    |