Home
Class 12
MATHS
Let f(x) be a function which is differen...

Let f(x) be a function which is differentiable any number of times and `f(2x^(2)-1)=2x^(3)f(x), AA x in R`. Then `f^((2010))(0)=` (Here `f^((n))(x)=n^(th)` order derivative of f at x)

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x in R, then f^(iv)(0) is equal

Find function f(x) which is differentiable and satisfy the relation f(x+y)=f(x)+f(y)+(e^(x)-1)(e^(y)-1)AA x, y in R, and f'(0)=2.

Find function f(x) which is differentiable and satisfy the relation f(x+y)=f(x)+f(y)+(e^(x)-1)(e^(y)-1)AA x, y in R, and f'(0)=2.

Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The value of f(4) is

Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k , then

If f: N to N defined as f(x)=x^(2)AA x in N, then f is :

Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA , x,y in R, y!=0 and f(1)!=0 , f'(1)=3 then

Let f be the continuous and differentiable function such that f(x)=f(2-x), forall x in R and g(x)=f(1+x), then

Let f:R to R be the function defined by f(x)=2x-3, AA x in R. Write f^(-1).

Let f(x) be a function satisfying f(x) + f(x+2) = 10 AA x in R , then

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Draw graph of the following expression. Also find extremum value if it...

    Text Solution

    |

  2. The number of common divisors of 10800 and 9000 is m. If a common d...

    Text Solution

    |

  3. Let f(x) be a function which is differentiable any number of times and...

    Text Solution

    |

  4. Consider all function f: {1,2,3,4} to {1,2,3,4} which are one-one, ont...

    Text Solution

    |

  5. If a^2x^2+b x+c=0 has roots alpha&beta(alpha<beta and -p^2x^2+q x+r=0 ...

    Text Solution

    |

  6. The distance between two points P and Q is d and the length of their p...

    Text Solution

    |

  7. Four people sit round a circular table and each person will roll a ...

    Text Solution

    |

  8. Evaluate ("lim")(xvecoo) sum(r=1)^n1/2^r , where [.] denotes the great...

    Text Solution

    |

  9. If f(x)={[1 , if xle3],[a x+b , if 3ltxlt5],[ 7, if 5lex]} . Determine...

    Text Solution

    |

  10. The reflection of the point vec a in the plane vec rdot vec n=q i...

    Text Solution

    |

  11. Match the column Column I, Column II If x=3,t h e n(log)4(2(log)3(1...

    Text Solution

    |

  12. Let f be a continuous real function such that f(11)=10 and for all ...

    Text Solution

    |

  13. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

    Text Solution

    |

  14. If the expression cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos...

    Text Solution

    |

  15. The value of ("lim")(x→0)x[1/x], where [.] denotes GIF, is 0 (b) 1 (c)...

    Text Solution

    |

  16. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

    Text Solution

    |

  17. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

    Text Solution

    |

  18. The value of (lim)(xvec0)(e^(2x)-cosx-ln(1+2x))/(xtanx-sinx)i s 0 (b...

    Text Solution

    |

  19. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

    Text Solution

    |

  20. If f(r)=1+1/2+1/3+1/ra n df(0)=0,t h e nsum(r=1)^n(2r+1)f(r) is equal ...

    Text Solution

    |