Home
Class 12
MATHS
The derivative of cos^(-1)(2x^(2)-1) w.r...

The derivative of `cos^(-1)(2x^(2)-1)` w.r.t. `cos^(-1)` is

A

2

B

`(-1)/(2sqrt(1-x)^2)`

C

`2/x`

D

`1-x^2`

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

The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)x is

The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(3x-x^3)) .

The derivative of 2cos^(-1)x w.r.t 2x^(2)-1 is

The derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^2)) is equal to......

Find the derivative of cos^(-1)(sinx) w.r.t. to x

The derivative of cos ec^(-1)((1)/(2x^(2)-1)) w.r.t.sqrt(1-x^(2)) is equal to

The derivative of sin^(-1)((x)/(sqrt(1-x^(2)))) w.r.t cos^(-1)((1-x^(2))/(1+x^(2))),(x>0) is

Define derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^2)) AA\ x in Rdot

Find derivative of sin(cos(x^(2))) w.r.t.to x

TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. Daribative of (log x) ^(x) w.r.t log x is

    Text Solution

    |

  2. DIfferential coefficient of tan^-1(x/(1+sqrt(1-x^2)))w.r.t sin^-1x is

    Text Solution

    |

  3. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1) is

    Text Solution

    |

  4. The differential coefficient of tan^(-1)((sqrt(1+x^2)-1)/x) with respe...

    Text Solution

    |

  5. Find the differential coefficient of sin^-1(2xsqrt(1-x^2))w.r.t. sin^-...

    Text Solution

    |

  6. Derivative of tan^(-1)((x)/(sqrt( 1 - x^(2)))) with respect to ...

    Text Solution

    |

  7. The derivative of f(x)=x^(tan^-1 x) with respect to g(x)=sec^-1(1/(2x^...

    Text Solution

    |

  8. If x = ct and y=c/t, find (dy)/(dx) at t=2.

    Text Solution

    |

  9. If y = a sin^(3) theta " and " x = a cos^(3) theta . " then at " th...

    Text Solution

    |

  10. If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin ...

    Text Solution

    |

  11. Derivative of log (sec theta + tan theta ) with respect to sec th...

    Text Solution

    |

  12. The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2)...

    Text Solution

    |

  13. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |

  14. If y=A sin 5x, then (d^2y)/(dx^2)=

    Text Solution

    |

  15. If a=A cos 4t+B sin4t, then (d^(2)x)/(dt^(2)) is equal to

    Text Solution

    |

  16. If x^2/a^2+y^2/b^2=1 then, (d^2y)/(dx^2)=

    Text Solution

    |

  17. If y=log (log x) then (d^2y)/(dx^2) is equal to

    Text Solution

    |

  18. The second order derivative of (e^x+1)/e^x is

    Text Solution

    |

  19. If y=(tan^(-1)x)^2, then (x^2+1)^2 (d^2y)/(dx^2) + 2x(x^2+1) dy/dx=

    Text Solution

    |

  20. If y=(sin^(-1)x)^(2),"show that "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)...

    Text Solution

    |