Home
Class 11
MATHS
If y= (1)/( a-z), show that (dz)/( dy) =...

If `y= (1)/( a-z)`, show that `(dz)/( dy) = (z-a)^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ICSE|Exercise EXERCISE 19 (c )|21 Videos

  • DIFFERENTIATION

    ICSE|Exercise EXERCISE 19 (d)|25 Videos

  • DIFFERENTIATION

    ICSE|Exercise EXERCISE 19 (a)|12 Videos

  • CORRELATION ANALYSIS

    ICSE|Exercise Multiple Choice Question |7 Videos

  • ELLIPSE

    ICSE|Exercise CHAPTER TEST|10 Videos

Similar Questions

Explore conceptually related problems

If (1)/(x) , (1)/(y) , (1)/(z) are A.P. show that (y+z)/(x) , (z+x)/(y) , (x+y)/(z) are in A.P.

int(dz)/(z sqrt(z^(2)-1))

z_(1) "the"z_(2) "are two complex numbers such that" |z_(1)| = |z_(2)| . "and" arg (z_(1)) + arg (z_(2) = pi," then show that "z_(1) = - barz_(2).

If 2^x = 3^y =12^z show that 1/z= 1/y+2/x

If z=x+i y and w=(1-i z)/(z-i) , show that |w|=1 z is purely real.

If z= x + yi and |2z + 1| = |z- 2i| , show that 3(x^(2) + y^(2)) + 4(x-y)=3

If z_(1)=2 + 3i and z_(2)= 3+ i plot the number z_(1) + z_(2) . Also show that |z_(1)| + |z_(2)| gt |z_(1) + z_(2)|

If |z| <= 1 and |omega| <= 1, show that |z-omega|^2 <= (|z|-|omega|)^2+(arg z-arg omega)^2

If the complex number Z_(1) and Z_(2), arg (Z_(1))- arg(Z_(2)) =0 . then show that |z_(1)-z_(2)| = |z_(1)-z_(2)| .

If the complex number Z_(1) and Z_(2), arg (Z_(1))- arg(Z_(2)) =0 . then show that |z_(1)-z_(2)| = |z_(1)|-|z_(2)| .

ICSE-DIFFERENTIATION-EXERCISE 19 (b)
  1. Differentiate the following functions: (7)/( x^( (2)/(3) ) )

    Text Solution

    |

  2. Differentiate the following functions: ( sqrt(x) + (1)/( sqrt( x) )...

    Text Solution

    |

  3. Differentiate the following functions: sqrt( x ) - (1)/( sqrt x) , ...

    Text Solution

    |

  4. Differentiate the following functions: 10. (1)/( x) + (3)/( x^2) + ...

    Text Solution

    |

  5. Differentiate the following functions: 11. 2x^((1)/(2)) + 6x^((1)/(3...

    Text Solution

    |

  6. Differentiate the following functions: 12. 8x^(3) - x^(2) + 5 - (2)/...

    Text Solution

    |

  7. Differentiate the following functions: 13. (3 x^7 + x^5 - 2x^4 + x-3...

    Text Solution

    |

  8. Differentiate the following functions: 14. (i) (2x-3)^(2) (ii) (2x -...

    Text Solution

    |

  9. Differentiate the following functions: 15. sqrt ( 3 x +2).

    Text Solution

    |

  10. Differentiate the following functions: Given f(x) = (7)/(4) x^(2), f...

    Text Solution

    |

  11. Find the derivative with respect to x of the following: (i) x - (1)/...

    Text Solution

    |

  12. Find the derivative with respect to x of the following: (ii) sqrt ( ...

    Text Solution

    |

  13. Find the derivative with respect to x of the following: (iii) 3x^(2)...

    Text Solution

    |

  14. Find the derivative with respect to x of the following: (iv) (x^2 + ...

    Text Solution

    |

  15. Find the derivative with respect to x of the following: (2x +x^4)/(...

    Text Solution

    |

  16. Find the derivative with respect to x of the following: (1+x^2)/( x^...

    Text Solution

    |

  17. If y= x + (1)/(x), prove that x^2 (dy)/( dx ) - xy + 2 =0

    Text Solution

    |

  18. If y= sqrt ( x) + (1)/( sqrtx ), prove that 2x (dy)/( dx ) + y=2 sqrt ...

    Text Solution

    |

  19. If y= (1)/( a-z), show that (dz)/( dy) = (z-a)^(2)

    Text Solution

    |

  20. If y= 1+ x + (x^2)/( 2!) + (x^3)/( 3!) + (x^4)/(4!) +…. to oo, show th...

    Text Solution

    |