Home
Class 11
MATHS
If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, ...

If `y=f((2x-1)/(x^2+1))`and`f^'(x)=sinx^2`, then find `(dy)/(dx)`

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 y=f((2x-1)/(x^2+1)) and f^(prime)(x)=sinx^2 , find (dy)/(dx) .

If y = f(x^2) and f'(x) = e^(sqrtx) , then find (dy)/(dx)

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

If y=(x^(2))/(sinx) find (dy)/(dx)

If y=[3x+2][2x-1] , then find (dy)/(dx) .

If y=f(x^(3)),z=g(x^(2)),f'(x),=cosx and g'(x)=sinx," then "(dy)/(dz) is

If y=[(x^2+1)/(x+1)] , then find (dy)/(dx) .

If y=x^(-1//2)+log_(5)x+(sinx)/(cosx)+2^(x), then find (dy)/(dx)

If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

y=x^(2)+(1)/(x^(2)) . Find (dy)/(dx)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t...

    Text Solution

    |

  2. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

    Text Solution

    |

  3. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

    Text Solution

    |

  4. Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then...

    Text Solution

    |

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

    Text Solution

    |

  6. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

    Text Solution

    |

  7. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

    Text Solution

    |

  8. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

    Text Solution

    |

  9. Differentiate tan^(-1)x/(1+sqrt((1-x^2))) +{2tan^(-1)sqrt(((1-x)/(1+x...

    Text Solution

    |

  10. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

    Text Solution

    |

  11. Differentiate (logx)^(cosx) with respect to xdot

    Text Solution

    |

  12. Find the differential equation of the family of curves y=A e^(2x)+B...

    Text Solution

    |

  13. If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

    Text Solution

    |

  14. If x=cos e ctheta-sintheta and y=cosec^ntheta-sin^ntheta, then show th...

    Text Solution

    |

  15. If y=sqrt(log{sin((x^2)/3-1)}), t h e n find (dy)/(dx)dot

    Text Solution

    |

  16. Find (dy)/(dx) of y= x^3

    Text Solution

    |

  17. Find (dy)/(dx) for y=sin(x^2+1)dot

    Text Solution

    |

  18. Let f(x)=x+1/(2x+1/(2x+1/(2x))) Compute the value of f(5) .

    Text Solution

    |

  19. y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy/dx .

    Text Solution

    |

  20. Find y' of y= 5x^5

    Text Solution

    |