Home
Class 12
MATHS
Find (dy)/(dx) if: x=a(cos t+1/2lntan^2t...

Find `(dy)/(dx)` if: `x=a(cos t+1/2lntan^2t/2)` and `y=asintdot` `x=s in tsqrt(cos2t)` and `y=cos tsqrt(cos2t)`

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    RESONANCE DPP|Exercise All Questions|70 Videos

  • DETERMINANTS

    RESONANCE DPP|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx):x=a{cos t+(1)/(2)log tan^(2)(t)/(2)} and y=a sin t

x=a(cos t + log tan t/2), y =a sin t

x=sqrt(sin 2t),y=sqrt(cos 2 t)

Find (dy)/(dx) , if x=(sin^3t)/(sqrt(cos2t)) , y=(cos^3t)/(sqrt(cos2t))

Find (dy)/(dx) if x=asqrt(cos2t) cost and y=asqrt(cos2t) sint then, find ((dy)/(dx)|)_(t=pi//6)

If x=a(cos t+(1)/(2)log tan^(2)t) and y=a sin t then find (dy)/(dx) at t=(pi)/(4)

x=a sin 2t(1+cccos 2t ),y=b cos2 t (1-cos 2t) find dy/dx

x=3sin t-2 sin ^3t, y=3 cos t -2cos^3t

RESONANCE DPP-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2))...

    Text Solution

    |

  2. Differentiate tan^(-1)((1+2x)/(1-2x))wdotrdottsqrt(1+4x^2) tan^(-1)...

    Text Solution

    |

  3. Find (dy)/(dx) if: x=a(cos t+1/2lntan^2t/2) and y=asintdot x=s in tsq...

    Text Solution

    |

  4. Differentiate the given functions w.r.t.x. (ln"x")^(cos"x") (ii) x^x-...

    Text Solution

    |

  5. Differentiate the following functions with respect to xdot x^(2/3)+7e...

    Text Solution

    |

  6. If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) ...

    Text Solution

    |

  7. Find (dy)/(dx) in each of the following cases: y=tan^(-1)(4x)/(1+5x^2...

    Text Solution

    |

  8. If f^(prime)(x)=sqrt(2x^2-1) and f(x^2), then (dy)/(dx) at x=1 is equa...

    Text Solution

    |

  9. Find (dy)/(dx), when xa n dy are connected by the following relations ...

    Text Solution

    |

  10. Let f(x)={(sina x^2)/(x^2); x!=0 and 3/4+1/(4a); x=0dot For what v...

    Text Solution

    |

  11. If y=A e^(-k t)cos(p t+c), then prove that (d^2y)/(dt^2)+2k(dy)/(dx)+n...

    Text Solution

    |

  12. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...

    Text Solution

    |

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

    Text Solution

    |

  14. If x=(1+t)/(t^3),y=3/(2t^2)+2/t , then x((dy)/(dx))^3-(dy)/(dx) is e...

    Text Solution

    |

  15. If e^y(x+1)=1, show that (d^(2y))/(dx^2)=((dy)/(dx))^2 If y=sin(2sin^...

    Text Solution

    |

  16. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^2-4a^2)

    Text Solution

    |

  17. Evaluate: ("lim")(xvec2a^+)((e^x I n(2^(x-1))-(2^x-1)^xsinx)/(e^(x I n...

    Text Solution

    |

  18. If f^(prime)(k)=l ,t h e nl= 0 (b) 4/5 (c) pi/2 (d) (16)/5

    Text Solution

    |

  19. f^(prime)(l+3)= 0 (b) 2/5 (c) -2/5 (d) -4/5

    Text Solution

    |

  20. Comprehension (for Q. No. 1 to 3) Let f(x)=sin^(-1)(1-x^2)/(1+x^2)+tan...

    Text Solution

    |