Home
Class 12
MATHS
If y=acos((log x)+bsin((log x) , then fi...

If `y=acos((log x)+bsin((log x)` , then find dy/dx

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

Similar Questions

Explore conceptually related problems

if y=(xsinx)/(log_(e)x), then find (dy)/(dx)

(i) If y=asin(log x) then prove that x^(2)*(d^2y)/(dx^2)+x(dy)/(dx)+y=0 . (ii) If y=acos(log_(e)x)+bsin(log_(e)x) , then prove that x^2*(d^2y)/(dx^2)+x*dy/dx+y=0 .

If y=acos(logx)+bsin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+y=0

1.If y = (log x)3 then dy/dx=

If y=Acos(logx)+\ Bsin(logx) , prove that x^2\ (d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

If y=(log_ex)/(x)+e^(x)sinx+log_(5)x then find (dy)/(dx) .

If y= e^(x) log tan 2x , than find (dy)/(dx)

Show that y=a cos(log x)+b sin(log x) is a solution of the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0

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

If y=(log)_a x , find (dy)/(dx) .

RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If f(x)=(cosx+isinx)(cos2x+isin2x)(cos3x+isin3x)ddot(cosn x+isinn x) a...

    Text Solution

    |

  2. If y=asinm x+bcosm x , then find dy/dx

    Text Solution

    |

  3. If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= (a)1 (...

    Text Solution

    |

  4. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

    Text Solution

    |

  5. Let f(x) be a polynomial. Then, the second order derivative of f(e^...

    Text Solution

    |

  6. If y=acos((log x)+bsin((log x) , then find dy/dx

    Text Solution

    |

  7. If x=2 and y=a t^2 ,then find dy/dx

    Text Solution

    |

  8. If x=f(t) and y=g(t) , then find (dy)/(dx)

    Text Solution

    |

  9. If y=sin(m\ sin^(-1)x) , then (1-x^2)y2-x y1 is equal to m^2y (b) m y ...

    Text Solution

    |

  10. If y=(sin^(-1)x)^2,\ then (1-x^2)y2 is equal to x y1+2 (b) x y1-2 (c)...

    Text Solution

    |

  11. If y=e^(tanx) , then (cos^2x)y2-(1+sin2x)y1=0

    Text Solution

    |

  12. If y=2/(sqrt(a^2-b^2)){tan^(-1)sqrt((a-b)/(a+b))tan(x/2)} , then show ...

    Text Solution

    |

  13. If y=(a x+b)/(x^2+c), prove that (2x y1+y)y3=3(x y2+y1)y2.

    Text Solution

    |

  14. If y=loge(x/(a+b x))^x , then x^3y2 is (a) (x y1-y)^2 (b) (1+y)^2 ...

    Text Solution

    |

  15. If x=f(t)cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost , then ...

    Text Solution

    |

  16. If y^(1/n)+y^(-1/n) = 2x then (x^2-1)y2+xy1 is equal to

    Text Solution

    |

  17. differentiate y= sinx +logx with respect to x

    Text Solution

    |

  18. If y=xlogx then find dy/dx

    Text Solution

    |

  19. find dy/dx if x y-(log y)=1

    Text Solution

    |

  20. If y^2=a x^2+b x+c , then find (dy)/(dx)

    Text Solution

    |