Home
Class 12
PHYSICS
Obtain the differential of the following...

Obtain the differential of the following :
`(i) (x-1) (2x+5)`
`(ii) (9x^(3)-8x+7)(3x^(2)+5)`

Text Solution

Verified by Experts

The correct Answer is:
`(KP)/(sqrt(2)y^(3))(-hat(i)-2hat(j))`

`vec(E)_(x)=(-K(P cos 45^(@)))/y^(3) hat(i)`
`vec(E)_(y)=(-2x(P sin 45^(@)))/y^(3) hat(j)`
`vec(E)_(P)=(KP)/(sqrt(2)y^(3))[-hat(i)-2hat(j)]`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Obtain the differential coefficient of the following : (x-1)(2x+5)

Find the derivatives of the following : (i) (x^(3)3x^(2)+4)(4x^(5)+x^(2)-1) (ii) (9x^(2))/(x-3)

Use suitable idntities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv) (x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x)

Write the coefficient of x ^(2) in each of the following (i) 15 - 3x + 2x ^(2) (ii) 1- x^(2) (iii) pi x ^(2) - 3x + 5 (iv) sqrt2 x ^(2) + 5x -1

Find zeroes of the following polynomals (i) 2x -3 (ii) x ^(2) - 5x +6 (iii) x +5

Write the coefficient of x ^(3) in each of the following (i) x ^(3) + x +1 (ii) 2- x ^(3) + x ^(2) (iii) sqrt2 x ^(3) + 5 (iv) 2x ^(3) +5 (v) pi/2 x ^(3) +x (vi) - 2/3 x ^(3) (vii) 2x ^(2) +5 (viii) 4

Calculate the value of x in the following equation :- (i) x^(2)-5x+6=0 (ii) x^(2)-9x+20=0 (iii) x^(2)-15x+56=0 (iv) x^(2)-16x+63=0

Differentiate the following w.r.t.x. 5^(3-x^(2))+(3-x^(2))^(5)

Write the degree of each of the following polynomials (i) 7x ^(3) + 5x ^(2) + 2x -6 (ii) 7-x + 3x ^(2) (iii) 5p- sqrt3 (iv) 2 (v) - 5xy ^(2)

State the degree of each the following polynomials : sqrt(2)x^(2) -5x^(3) + 7x +(1)/(4)

ALLEN -BASIC MATHS-Exersice-04[A]
  1. The period of oscillation of a simple pendulum in the experiment is re...

    Text Solution

    |

  2. Find the dimensional formula of kinetic energy.

    Text Solution

    |

  3. The length, breadth and thickness of a strip are given by l = (10.0 +-...

    Text Solution

    |

  4. If error in measuring diameter of a circle is 4 %, the error in circum...

    Text Solution

    |

  5. The external and internal diameters of a hollow cylinder are measured ...

    Text Solution

    |

  6. Percentage error in measuring the radius and mass of a solid sphere a...

    Text Solution

    |

  7. In a vernier calliper, N divisions of vernier scale coincide with (N-1...

    Text Solution

    |

  8. The length of a cylinder is measured with a meter rod having least cou...

    Text Solution

    |

  9. what is the value of boltzmann constant?

    Text Solution

    |

  10. The heat generated in a cirucit is dependent upon the resstance, curre...

    Text Solution

    |

  11. Percentage erros in the measurement of mass and speed are 2% and 3% re...

    Text Solution

    |

  12. One centimetre on the main scale of vernier callipers is divided into ...

    Text Solution

    |

  13. While measuring the acceleration due to gravity by a simple pendulum ,...

    Text Solution

    |

  14. A student measured the diameter of a wire using a screw gauge with lea...

    Text Solution

    |

  15. Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) ...

    Text Solution

    |

  16. Given s=t^(2)+5t+3, find (ds)/(dt)

    Text Solution

    |

  17. If s= ut +(1)/(2) at^(2), where u and a are constants. Obtain the valu...

    Text Solution

    |

  18. The area of blot of link is growing such that after t seconds, its are...

    Text Solution

    |

  19. The area of a circle is given by A=pir^(2), where r is the radius . Ca...

    Text Solution

    |

  20. Obtain the differential of the following : (i) (x-1) (2x+5) (ii) (9...

    Text Solution

    |