Home
Class 11
MATHS
If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'...

If f(x)=`x^5+x^3-2x+3`,Prove that f'(1)+f'(-1)=4f(0).

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 10

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

  • MODEL QUESTION PAPERS-SET 12

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2^(x) , then prove that f(x +1) = 4f( x - 1).

If f(x)=3^(x) , then prove that f(x + 1) = 9f(x - 1).

If f(x)=5^x , then prove : (f(x+1))/(f(x-1))=25

If f(x)=|x-2|+|x-4| show that f'(3) = 0

If f(x)=(1-x)/(1+x) , then prove that f(x)+f(1/x)=0 .

If f(x)=4^(x) , then prove that (f(x+1))/(f(x-1))=16 .

If f(x)=(1-x)/(1+x), prove that f[f{f(1/x)}]=-f(x)

If f(x) = (x-1)/(x+1) , then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/(1+xy) .

If f(x)=1/(4x^(2)) , then proved that (f(x-h)-f(x+h))/h=x/((x^(2)-h^(2))^(2))

Let f(x)=4^x/(4^x+2) prove.that f(x) + f(1- x)= 1. Hence prove that f(1/1997)+f(2/1997)+....+f(1996/1997)=998

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 11-EXERCISE
  1. If the distance from- origin to- the straight line 3x + 5y + a = 0 is3...

    Text Solution

    |

  2. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

    Text Solution

    |

  3. If f(x)=x^5+x^3-2x+3,Prove that f'(1)+f'(-1)=4f(0).

    Text Solution

    |

  4. Evaluate :lim(xrarroo)(1+2+3+...+n)/n^2

    Text Solution

    |

  5. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

    Text Solution

    |

  6. For any two positive acute angles theta and phi if sin(theta+phi)=k s...

    Text Solution

    |

  7. Solve :sqrt3sinx+cosx=2

    Text Solution

    |

  8. Prove by mathematical induction. 1.1! + 2. 2! + 3. 3! + ... +n . n! = ...

    Text Solution

    |

  9. If z = x + iy then l z - 8| + Iz + 8| = 20. represents a ellipse

    Text Solution

    |

  10. If (1+x)^n=c0+c1x+c2x^2+....+cnx^n,then show that c0/1+c2/3+c4/5+...=2...

    Text Solution

    |

  11. If the ath and bth term of an AP are 1/b and 1/a,then show that (ab)th...

    Text Solution

    |

  12. In /\XYZthe co-ordinate of Y and Z are (-a, 0) and (a, 0), andangle XZ...

    Text Solution

    |

  13. If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4...

    Text Solution

    |

  14. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

    Text Solution

    |

  15. Find the co-ordinate of a point equidistance from the points' (0, 0. 0...

    Text Solution

    |

  16. Prove that lim(xrarr1)(x^2-sqrtx)/(sqrtx-1)=3

    Text Solution

    |

  17. Prove that sqrt5 is irrational, (use the method of contradiction).

    Text Solution

    |

  18. In xy plane, |x — y | = 1 represents an equation of a circle and one d...

    Text Solution

    |

  19. Find the mean diaviation with respect to median of the frequency dist...

    Text Solution

    |

  20. If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(th...

    Text Solution

    |