Home
Class 12
MATHS
Find delta f and df when f(x) = 2x^2 - 1...

Find `delta f` and df when `f(x) = 2x^2 - 1, x = 1, delta x = 0 cdot 02`

Text Solution

Verified by Experts

`f(x) = 2x^2 - 1, x = 1, delta x = 0 cdot 02`
Then `delta f = f(x+ Delta x) - f(x)`
=f(1.02) - f(1)
= `2 (1 cdot 02)^2 - 1 - (2- 1)`
=`2 cdot 0808 - 2 = 0 cdot 0808`
Again `df= 4x dx = 4 xx 1 xx 0 cdot 02 = 0 cdot 08`
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

Find delta f and df when f(x) = In (1+x), x = 1, deltax = 0.04

Find delta f and df when f(x) = sqrtx , x = 16, deltax = 0.3

Find delta f and df when f(x) = (x+1)^3 , x =8, deltax = 0.04

Write df, when f(x) = sqrt(x), x = 4 and Delta x = 0.2 .

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Determine the differentials in each of the following cases. x^2y = 2

    Text Solution

    |

  2. Determine the differentials in each of the following cases. xy^2 + yx^...

    Text Solution

    |

  3. Find delta f and df when f(x) = 2x^2 - 1, x = 1, delta x = 0 cdot 02

    Text Solution

    |

  4. Find delta f and df when f(x) = sqrtx , x = 16, deltax = 0.3

    Text Solution

    |

  5. Find delta f and df when f(x) = (x+1)^3 , x =8, deltax = 0.04

    Text Solution

    |

  6. Find delta f and df when f(x) = In (1+x), x = 1, deltax = 0.04

    Text Solution

    |

  7. Find approximate values of the following : root(3)28

    Text Solution

    |

  8. Find approximate values of the following : root(6)63

    Text Solution

    |

  9. Find approximate values of the following : sqrt(48.96)

    Text Solution

    |

  10. Find approximate values of the following : (1.99)^7

    Text Solution

    |

  11. Find approximate values of the following : 2^(3.02)

    Text Solution

    |

  12. Find approximate values of the following : sin59^@

    Text Solution

    |

  13. find the percentage of error in calculation of the surface area of a s...

    Text Solution

    |

  14. Find approximately the difference between the volumes of two cubes of ...

    Text Solution

    |

  15. The height of a regular cone is 3 times the radius of its base. The r...

    Text Solution

    |

  16. Find the following limits: lim(xrarr0) tanax//x

    Text Solution

    |

  17. Find the following limits: lim(xrarr0) (sinax)/(sinbx)

    Text Solution

    |

  18. Find the following limits: lim(xrarr1) (lnx)/(x^2-1)

    Text Solution

    |

  19. Find the following limits: lim(xrarr(pi)/2) (1-sinx)/cosx

    Text Solution

    |

  20. Find the following limits: lim(xrarr0) (tanx-sinx)/(x^3)

    Text Solution

    |