Home
Class 12
MATHS
If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)...

If `f'(x)=sin(log x)and y=f((2x+3)/(3-2x)),` then `dy/dx` equals

A

`sin(logx).(1)/(xlogx)`

B

`(12)/((3-2x)^(2))sin{log((2x+3)/(3-2x))}`

C

`sin{log((2x+3)/(3-2x))}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|92 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

If f' (x) = sin (log x) and y = f((2x+3)/(3- 2x)), " then " (dy)/(dx) " at " x = 1 is equal to

Let f'(x) = sin(x^2) and y = f(x^2 +1) then dy/dx at x=1 is

If y=f((3x+4)/(5x+6))andf'(x)=tanx^(2), then (dy)/(dx) is equal to

If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1 .

If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1 .

if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

If y= 2x^6 + sin 3x then dy/dx

If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

If y=f(x^(2))andf'(x)=e^(sqrt(x)) then (dy)/(dx) is equal to

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
  1. The value of (d)/(dx)(|x-1|+|x-5|) at x=3, is

    Text Solution

    |

  2. y = sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1)), x > 0. Find dy/dx

    Text Solution

    |

  3. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

    Text Solution

    |

  4. If f(x)=(log(cotx)tanx)(log(tanx)cotx)^(-1) +tan^(-1)((x)/(sqrt(4-x^...

    Text Solution

    |

  5. If y=x^(x^(x^(x...^(oo)))) , then x(1-ylogx)(dy)/(dx)

    Text Solution

    |

  6. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a...

    Text Solution

    |

  7. If y = sec^(-1) (sqrt(x+1)/(sqrt(x-1)))+ sin^(-1)(sqrt(x-1)/(sqrt(x+1)...

    Text Solution

    |

  8. If x^2+y^2=(t+1/t) and x^4+y^4=t^2+1/t^2, then x^3y(dy)/(dx)=

    Text Solution

    |

  9. y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy...

    Text Solution

    |

  10. If y=int0^xf(t)sin{k(x-t)}dt, then prove that ((dt^2y)/(dx^2))+k^2y=kf...

    Text Solution

    |

  11. If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}|, where p i...

    Text Solution

    |

  12. If f(x)=x+2," then "f'(f(x))" at "x=4, is

    Text Solution

    |

  13. "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is

    Text Solution

    |

  14. If x=acostheta,y=bsintheta," then"(d^(3)y)/(dx^(3)) is equal to

    Text Solution

    |

  15. If f(1)=1,f^(prime)(1)=2, then write the value of (lim)(x->1)(sqrt(f(x...

    Text Solution

    |

  16. If variables x and y are related by the equation x=int(0)^(y)(1)/(sq...

    Text Solution

    |

  17. The differential coefficient of a^(log10" cosec"^(-1)x), is

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If y=sin^(2)alpha+cos^(2)(alpha+beta)+2sinalphasinbetacos(alpha+beta),...

    Text Solution

    |

  20. If y=cos2xcos3x, then y(n) is equal to

    Text Solution

    |