Home
Class 12
MATHS
If u=t^2and v=sint^2then dv/du=....

If `u=t^2`and` v=sint^2`then dv/du=________.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If x= cos t+ log tan t/2 and y = sin t, then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2) at t= (pi)/4 .

If x = sint and y= sin (pt) , then show that (1-x^(2) ) (d^2y)/( dx^2) - x (dy)/( dx) + p^(2) y =0 .

If int_0^1 f(x) dx = 4 , int_0^2 f(t) dt = 2 and int_4^2 f(u) du = 1 then int_1^4 f(x) dx = ____

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2 then prove that x^3ydy/dx=1 .

If x=a(cost+tsint) and y=a(sint-tcost) , then find (d^(2)y)/(dx^(2)) at t=(pi)/(4) .

If x=a((1-t^(2))/(1+t^(2))) and y=(2t)/(1-t^(2)) , then find (dy)/(dx) .

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.

    Text Solution

    |

  2. What is the derivative of e^(3logx) w.r.t.x?

    Text Solution

    |

  3. If u=t^2and v=sint^2then dv/du=.

    Text Solution

    |

  4. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

    Text Solution

    |

  5. Write the derivative of sinx with respect to cosx.

    Text Solution

    |

  6. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

    Text Solution

    |

  7. if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.

    Text Solution

    |

  8. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  9. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  10. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

    Text Solution

    |

  11. Write that condition of Rolle’s theorem which is violated by the funct...

    Text Solution

    |

  12. If f(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at...

    Text Solution

    |

  13. If y = tan^(-1)(1/(1+x+x^2)) + tan^(-1)(1/(x^2+3x+3)) + tan^(-1)(1/(x^...

    Text Solution

    |

  14. If x=a(cos t + log tan (t/2)),y=a sin t, then what is (d^2y)/(dx^2) at...

    Text Solution

    |

  15. What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...

    Text Solution

    |

  16. If f(x)=|logx| then for x!=1, then what is f'(x)?

    Text Solution

    |

  17. If y=|cosx|+|sinx| then what is (dy)/(dx) at x = (2pi)/3 ?

    Text Solution

    |

  18. If f(x)=logx^(2)(logx), then f(e)

    Text Solution

    |

  19. If y = tan^(-1)[(x/log ex^3)] + tan^(-1)[(5 + 3logx)/(1-15logx)] then ...

    Text Solution

    |

  20. If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at...

    Text Solution

    |