Home
Class 12
MATHS
If f (x,y) =e ^(2x+3y) find 3f(x) (0,0) ...

If `f (x,y) =e ^(2x+3y) `find `3f_(x) (0,0) - 2f_(y) (0,0):`

A

0

B

1

C

`-1`

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.8|15 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

If f(x,y) =x^(2) + y^(3) + 2xy^(2) , find f_("xx"), f_("yy"), f_("xy") and f_("yx") .

If f(x,y) = 2x^(2) - 3xy + 5y^(2) +7 , then f(0,0) and f(1,1) is

Let g(x,y) = (x^(2)y)/(x^(4) + y^(2)) for (x,y) ne (0,0) and f(0,0)=0. (i) Show that lim_((x,y) to (0,0)) g(x,y)=0 along every line y=mx, m in R . (ii) Show that lim_((x,y) to (0,0)) g(x,y) = k/(1+k^(2)) , along every parabola y=kx^(2), k in R{0} .

Let f(x,y) = (y^(2) -xy)/(sqrt(x)-sqrt(y)) for (x,y) ne (0,0) . Show that lim_((x,y) to (0,0)) f(x,y) =0

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)

If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F_(1) (3,0) and F_(2) (-3,0) then PF_(1) + PF_(2) is

PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-PROBLEMS FOR PRACTICE
  1. f (x,y)=sin ^(-1) ((x)/(y)) + tan ^(-1) ((y)/(x)) is homogeneous funct...

    Text Solution

    |

  2. A function f (x,y) is said to be harmonic if (del^(2)f)/(del x ^(2)) +...

    Text Solution

    |

  3. If f (x,y) =e ^(2x+3y) find 3f(x) (0,0) - 2f(y) (0,0):

    Text Solution

    |

  4. Find dy if y = (x-2)/( 2x +3) for x =2, dx =1.

    Text Solution

    |

  5. If u =x ^(2) + y ^(2) evaluate (del^(2)f)/(del x ^(2)) + (del ^(2) f)/...

    Text Solution

    |

  6. If u (x,y) = (x ^(2))/( y)- (2y ^(2))/(x) then (del^(2) u)/(del x dely...

    Text Solution

    |

  7. If f (x,y) is homogeneous function of degree 5 then x (del f)/(delx) +...

    Text Solution

    |

  8. Computer the values of dy if f (y) =x ^(3) +x ^(2) -2x +1 where x chan...

    Text Solution

    |

  9. use differentials to find the approximate value of root 3 65.

    Text Solution

    |

  10. Find the differential dy for given x and dx, y = (x ^(2) +5) ^(3),x =1...

    Text Solution

    |

  11. The approximate value of 1/(10.1).

    Text Solution

    |

  12. If u = x^(4) + y ^(3) + 3x ^(2) y^(2) + 3x ^(2) y find (del u)/(delx),...

    Text Solution

    |

  13. If u =x ^(3) +2xy^(2) -x ^(2)y show that (del^(2)u)/(delxdely) =(del^(...

    Text Solution

    |

  14. If w = u^(2)e ^(v) where u = x/y, v = y log x find (delw)/(delx)

    Text Solution

    |

  15. If u =sqrt(x ^(4) +y ^(4)) show that x (delu)/(delx) + y ( del u)/(del...

    Text Solution

    |

  16. If w = e ^(xy) wh4ere x = t ^(2), y = t ^(3) show that (dw)/(dt)=5t ^(...

    Text Solution

    |

  17. If w=xy + z, where x=cos t, y = sin t, z=t, find (dw)/(dt).

    Text Solution

    |

  18. If u =tan^(-1)((x ^(4) +y ^(4))/(x ^(2)-y ^(2))) show that x (delu)/(d...

    Text Solution

    |

  19. Find (26)^((1)/3)).

    Text Solution

    |

  20. Find the value of x (del z)/(delx) + y (del z)/( dely) if z = log ((x ...

    Text Solution

    |