Home
Class 12
MATHS
given y=(5x)/(3*sqrt(1-x)^2)+cos^2(2x+1)...

given `y=(5x)/(3*sqrt(1-x)^2)+cos^2(2x+1)`,find `dy/dx`

A

`(5(3-x))/(3(1-x)^(5/3))-2sin(4x+2)`

B

`(5(3-x))/(3(1-x)^(2/3))-2sin(4x+4)`

C

`(5(3-x))/(3(1-x)^(2/3))-2sin(2x+1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

Given y=(5x)/(root(3)((1-x)^(2)))+cos^(2)(2x+1),quad find (dy)/(dx)

If y=(1)/(sqrt(a^(2)-x^(2)) , find (dy)/(dx) .

y=((3x^(2)+1)sqrt(1+x^(2)))/(x^(3)) find dy/dx

If y=cos^(-1)((3x+4sqrt(1-x^(2)))/(5)), find (dy)/(dx)

y= 5^(x).sec^(-1)2x Find dy/dx

If y=cos^(-1){(2x-3sqrt(1-x^(2)))/(sqrt(13))}, find (dy)/(dx)

If y=(5x)/((1-x^(2))^((1)/(3)))+sin^(2)(2x+3) Find (dy)/(dx)

Ify=cos^(-1)((2x-3sqrt(1-x^(2)))/(13)) then,find (dy)/(dx)

If y=sin^(-1){(5x+12 sqrt(1-x^(2)))/(13)}, find (dy)/(dx).

If y=(x^2+1/x^2)^3 , find dy/dx

TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  2. Let f : (-1,1) to R be a differentiabale function with f(0) = -1 and f...

    Text Solution

    |

  3. given y=(5x)/(3*sqrt(1-x)^2)+cos^2(2x+1),find dy/dx

    Text Solution

    |

  4. If y = f(x^(2) + 2) " and " f'(3) = 5 , " then" dy/dx " at x " = 1 is

    Text Solution

    |

  5. If f (x) = log(x) (log x), then f'(x) at x = e is …….. .

    Text Solution

    |

  6. If f(x)=sqrt(1+cos^2(x^2)),thenf'(sqrtpi/2) is

    Text Solution

    |

  7. If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4)...

    Text Solution

    |

  8. d/(dx)tan^-1((1-x)/(1+x))=

    Text Solution

    |

  9. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

    Text Solution

    |

  10. If y=tan^(-1)[(sinx-cosx)/(cosx-sinx)] then (dy)/(dx) is

    Text Solution

    |

  11. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

    Text Solution

    |

  12. यदि y= sec tan ^(-1) x, तब (dy)/(dx) =

    Text Solution

    |

  13. the derivative of tan^-1 (6xsqrtx)/(1-9x^3) is sqrtx g(x) then g(x) is...

    Text Solution

    |

  14. If y= e^(m sin ^(-1)) x and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then ...

    Text Solution

    |

  15. If y=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))], find (dy)/(dx),

    Text Solution

    |

  16. Find (dy)/(dx) when(y-tan^(- 1))x/(1+sqrt(1-x^2))+sin[2tan^(- 1)sqrt((...

    Text Solution

    |

  17. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  18. What is the derivative of tan^(-1)((sqrtx-x)/(1+x^(3//2))) at x = 1?

    Text Solution

    |

  19. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

    Text Solution

    |

  20. If y=(1+1/x)^x,then(dy)/(dx)=

    Text Solution

    |