Home
Class 11
MATHS
The first derivative of the function [c...

The first derivative of the function `[cos^(-1)(sinsqrt((1+x)/2))+x^x]` with respect to `x` at `x=1` is (a)`3//4` (b) 0 (c)`1//2` (d) `-1//2`

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

The first derivative of the function [cos^(-1)(sin sqrt((1+x)/2))+x^x] with respect to x at x = 1 is

Find the derivative of the function (1 + (1)/(x)) (1 + (2)/( x)) with respect to x .

Differentiate cos^(-1)((1-x^2)/(1+x^2)) , 0lt xlt1 with respect to x

Differentiate tan^-1sqrt((1-x^2)/(1+x^2)) with respect to cos^-1""x^2

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=0 , is

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=1 , is

The derivative of sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))) is

The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)((2xsqrt(1-x^2))/(1-2x^2)) at x=0 is 1/8 (b) 1/4 (c) 1/2 (d) 1

The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)((2xsqrt(1-x^2))/(1-2x^2)) at x=0 is 1/8 (b) 1/4 (c) 1/2 (d) 1

Differentiate cos^(-1)((1-x^2)/(1+x^2)) with respect to x , when x in (0,\ oo)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. A function f, defined for all positive real numbers, satisfies the eq...

    Text Solution

    |

  2. If y=x-x^2, then the derivative of y^2 with respect to x^2 is (a)1...

    Text Solution

    |

  3. The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x]...

    Text Solution

    |

  4. The function f(x)=e^x+x , being differentiable and one-to-one, has a ...

    Text Solution

    |

  5. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , w...

    Text Solution

    |

  6. Suppose y=e^(a x)+e^(b x), find y''

    Text Solution

    |

  7. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/((sqrt(a-x)+sqrt(x-b)) ,then (d...

    Text Solution

    |

  8. If y= 7x^5, then (dy)/(dx)

    Text Solution

    |

  9. The nth derivative of the function f(x)=1/(1-x^2) [where in(-1,1) at ...

    Text Solution

    |

  10. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

    Text Solution

    |

  11. Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such...

    Text Solution

    |

  12. Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi)dot Statement...

    Text Solution

    |

  13. f:R^+ ->R is a continuous function satisfying f(x/y)=f(x)-f(y) AAx,y i...

    Text Solution

    |

  14. fn(x)=e^(f(n-1)(x)) for all n in Na n df0(x)=x ,t h e n d/(dx){fn(x)...

    Text Solution

    |

  15. Suppose f and g are functions having second derivative f'' and g' ' ev...

    Text Solution

    |

  16. If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^(n y))/(dx^n)a n dkn are ...

    Text Solution

    |

  17. If a function is represented parametrically by the equations x=(1+log(...

    Text Solution

    |

  18. Statement 1: Leg f(x)=x[x]a n d[dot] denotes the greatest integral fun...

    Text Solution

    |

  19. Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even ...

    Text Solution

    |

  20. If y=a e^(m x)+b e^(-m x), then (d^(2y))/(dx^2) is equals to

    Text Solution

    |