Home
Class 11
MATHS
If x=t^2,y=t^3,t h e n(d^2y)/(dx^2)= ...

If `x=t^2,y=t^3,t h e n(d^2y)/(dx^2)=` (a)`3/2` (b) `3/((4t))` (c) `3/(2(t))` (d) `(3t)/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a) 3/2 (b) 3/(4t) (c) 3/(2t) (d) (3t)/2

If x=t^2,\ \ y=t^3 , then (dy)/(dx)

If x=t^2 and y=t^3 , find (d^2y)/(dx^2) .

If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^3) (c) -1/(t^3) (d) -1/(2\ a t^3)

If x=a t^2,y=2a t , then (d^2y)/(dx^2) is equal to (a) -1/(t^2) (b) 1/(2a t^2) (c) -1/(t^3) (d) 1/(2a t^3)

If x=t^(2)andy=t^(3) , then (d^(2)y)/(dx^(2)) is equal to: a) (3)/(2) b) (3)/(2)t c) (3)/(2t) d) (3)/(4t)

If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),t h e nfin d(dy)/(dx)a tt=2.

If y=(logx)/x ,show\ tha t(d^2y)/(dx^2)=(2logx-3)/(x^3)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x)...

    Text Solution

    |

  2. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  3. If x=t^2,y=t^3,t h e n(d^2y)/(dx^2)= (a)3/2 (b) 3/((4t)) (c) 3/(2...

    Text Solution

    |

  4. Using the first principle, prove that: d/(dx)(f(x)g(x))=f(x)d/(dx)(g(x...

    Text Solution

    |

  5. If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) (c) -e...

    Text Solution

    |

  6. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  7. Let f(x)=(lim)(h->0)(("sin"(x+h))^(1n(x+h))-(sinx)^(1nx))/hdot Then f...

    Text Solution

    |

  8. If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

    Text Solution

    |

  9. A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+...

    Text Solution

    |

  10. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

    Text Solution

    |

  11. If x=logp and y=1/p ,then (a)(d^2y)/(dx^2)-2p=0 (b) (d^2y)/(dx^2)+...

    Text Solution

    |

  12. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)...

    Text Solution

    |

  13. Let y=1n(1+cosx)^2. Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal

    Text Solution

    |

  14. Find (dy)/(dx)"for"y=xsinxlogxdot

    Text Solution

    |

  15. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  16. Differentiate y=(e^x)/(1+sinx)

    Text Solution

    |

  17. Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...

    Text Solution

    |

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

    Text Solution

    |

  19. If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...

    Text Solution

    |

  20. If f(x)=cosxdotcos2xdotcos4xdotcos8xdotcos16 x , then find f^(prime)(p...

    Text Solution

    |