Home
Class 12
MATHS
For each of the function find the g (xy)...

For each of the function find the `g _(xy), g _(yy) and g _(yx ),`
`g (x,y) = log ( 5x + 3y)`

Text Solution

Verified by Experts

The correct Answer is:
`g _(xy) = (-15)/((5x+3y))^(2))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.5|5 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.6|9 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.3|8 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

Similar Questions

Explore conceptually related problems

For each of the function find the g _(xy), g _(yy) and g _(yx ), g (x,y) = xe ^(y)+ 3x ^(2) y

For each of the function find the g _(xy), g _(yy) and g _(yx ), g (x,y) = x ^(2) + 3xy - 7y + cos (5x)

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = cos (x ^(2) - 3xy )

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = (3x)/( y + sin x)

For each of the functions find the f _(x), f _(y), and show that f _(xy) = f _(yx). f (x,y) = tan ^(-1)"" ((x)/(y))

Find the partial derivatives of the functions at the indicated point G (x,y) = e ^(x+3y) log (x ^(2) + y ^(2)), (-1, 1)

Prove that the functions do not have maxima or minima: g(x) = log x

PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-EXERCISE 8.4
  1. Find the partial derivatives of the functions at the indicated point ...

    Text Solution

    |

  2. Find the partial derivatives of the functions at the indicated point ...

    Text Solution

    |

  3. Find the partial derivatives of the functions at the indicated point ...

    Text Solution

    |

  4. Find the partial derivatives of the functions at the indicated point ...

    Text Solution

    |

  5. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |

  6. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |

  7. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |

  8. If U(x,y,z) =(x^(2) + y^(2))/(xy) + 3z^(2)y, find (del U)/(dx) + (del ...

    Text Solution

    |

  9. If U(x,y,z) = log(x^(3) + y^(3) +z^(3)) find (del U)/(dx) + (del U)/(d...

    Text Solution

    |

  10. For each of the function find the g (xy), g (yy) and g (yx ), g (x,y...

    Text Solution

    |

  11. For each of the function find the g (xy), g (yy) and g (yx ), g (x,y...

    Text Solution

    |

  12. For each of the function find the g (xy), g (yy) and g (yx ), g (x,y...

    Text Solution

    |

  13. Let w(x, y, z)=(1)/(sqrt(x^(2)+y^(2)+z^(2)))(x, y, z) != (0, 0, 0). Sh...

    Text Solution

    |

  14. If V(x,y) = e^(x) (x cos y - y siny), then prove that (del^(2)V)/(del ...

    Text Solution

    |

  15. If w(x,y) = xy + sin(xy), then prove that (del^(2) w)/(del y del x) =...

    Text Solution

    |

  16. If v(x,y,z) = x^(3) + y^(3) + z^(3) + 3xyz, show that (del^(2)v)/(del ...

    Text Solution

    |

  17. A firm produces two types of calculators each week, x number of type A...

    Text Solution

    |

  18. A firm produces two types of calculators each week, x number of type A...

    Text Solution

    |