Home
Class 12
MATHS
If g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =...

If `g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =e^(t)` and `y(t) = cos t`, then `(dg)/(dt)` is equal to

A

`6e^(2t)+5sint-4costsint`

B

`6e^(2t)-5sint+4costsint`

C

`3e^(2t)+5sint+4costsint`

D

`3e^(2t)-5sint+4costsint`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-II|10 Videos
  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-III|22 Videos
  • SAMPLE PAPER -12

    FULL MARKS|Exercise PART-I|1 Videos
  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos

Similar Questions

Explore conceptually related problems

If w(x,y,z) =x^(2) + y^(2)+ z^(2), x=e^(t), y=e^(t) sin t and z=e^(t) cos t , find (dw)/(dt) .

Let g (x,y)=x^2-yx + sin (x+y), x (t) = e^(3t) , y(t) = t^2, t in R. Find (dg)/(dt) .

If u(x,y) =x^(2)y + 3xy^(4), x = e^(t) and y= sin t, find (du)/(dx) and evaluate it at t=0.

If f (x,y) =x ^(2) + xy+y ^(2),x =t ,y=t ^(2) then (df )/(dt)=

Let U(x,y,z) = xyz, x=e^(-t), y=e^(-t) cos t, z= sin t, t in R . Find (dU)/(dt) .

FULL MARKS-SAMPLE PAPER -12 (UNSOLVED)-PART-III
  1. If g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =e^(t) and y(t) = cos t, then (...

    Text Solution

    |

  2. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

    Text Solution

    |

  3. Provet that a stralght line and parabola connot intersect at more than...

    Text Solution

    |

  4. Find the value of cos(cos^(-1)((4)/(5))+sin^(-1)((4)/(5)))

    Text Solution

    |

  5. Determine whether the points ( -2,1) ,(0,0) and ( -4,-3) lie outside, ...

    Text Solution

    |

  6. Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)

    Text Solution

    |

  7. Find the intervals of monotonicity and local extrema of the function f...

    Text Solution

    |

  8. If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...

    Text Solution

    |

  9. Four defective oranges are accidentally mixed with sixteen good ones. ...

    Text Solution

    |

  10. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  11. Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2...

    Text Solution

    |

  12. In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 b...

    Text Solution

    |

  13. Prove that (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)=2^(n+...

    Text Solution

    |

  14. Solve (x-4)(x+2)(x+3)(x-3)+8=0

    Text Solution

    |

  15. Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))

    Text Solution

    |

  16. A road bridge over an irrigation canal have two semi circular vents ea...

    Text Solution

    |

  17. Show that the set G={a+bsqrt2//a,binQ} is an infinite abelian group wi...

    Text Solution

    |

  18. Find the parametric form of vector equation, and Cartesian equations o...

    Text Solution

    |

  19. The mean and standard deviation of a binomial variate X are respectiv...

    Text Solution

    |

  20. Find the intervals of concavity and the points of inflection of the fu...

    Text Solution

    |

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

    Text Solution

    |