Home
Class 12
MATHS
Differentiate the following w.r.t. x (i...

Differentiate the following w.r.t. `x`
(i) `cos ^(-1)(sin x)`
(if) `tan ^(-1)(sin x/(1+cos x))`
(iii) `sin ^(-1)((2^(x+1))/(1+4^x))`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t.x e^(x^2)

Differentiate the following w.r.t.x xsin^-1x

Differentiate the following w.r.t x. e^(x^3)

Differentiate the following w.r.t x sin^3x+cos^6x

Differentiate the following w.r.t x (5x)^(3cos2x)

Differentiate the following w.r.t.x e^(sin^-1x)

Differentiate the following w.r.t.x (cot^-1x)^2

Differentiate the following w.r.t.x sin^-1(x^3)

Differentiate the following w.r.t.x (tan^-1x)/x

Differentiate the following w.r.t. x (cos x)/(logx),x>0

V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Verify Lagrange 's mean value theorem, if f(x)=x^3-5x^2-3x in the inte...

    Text Solution

    |

  2. Differentiate w.r.t. x, the following functions: (i) sqrt(3 x+2)+1/(s...

    Text Solution

    |

  3. Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^...

    Text Solution

    |

  4. Find f'(x) if f(x)=(sin x)^(sin x) for all 0ltxltpi

    Text Solution

    |

  5. For a positive constant a find (dy/dx), where y=a^(t+1/t), and x=(t+1/...

    Text Solution

    |

  6. Differentiate sin ^2 x w.r.t e^(cos x)

    Text Solution

    |

  7. Differentiate w.r.t x the function (3 x^2-9 x+5)^9

    Text Solution

    |

  8. Differentiate w.r.t x the function sin ^3 x+cos ^6 x

    Text Solution

    |

  9. Differentiate w.r.t x the function (5 x)^(3 cos 2 x)

    Text Solution

    |

  10. Differentiate w.r.t x the function sin ^(-1)(x sqrt(x)), 0 le x le 1

    Text Solution

    |

  11. Differentiate w.r.t x the function cos ^(-1)(x/2)/(sqrt(2 x+7))

    Text Solution

    |

  12. Differentiate w.r.t x the functions cot ^(-1)[(sqrt(1+sin x)+sqrt(1-si...

    Text Solution

    |

  13. Differentiate w.r.t x the function (log x)^(log x), x>1

    Text Solution

    |

  14. Differentiate w.r.t x the function cos (a cos x+b sin x), for some co...

    Text Solution

    |

  15. Differentiate w.r.t x the function (sin x-cos x)^((sin x-cos x))

    Text Solution

    |

  16. Differentiate the following w.r.t.x x^x+x^a+a^x+a^a for some fixed agt...

    Text Solution

    |

  17. Differentiate w.r.t x the function x^(x^2-3)+(x-3)^(x^2), for x>3

    Text Solution

    |

  18. Find dy/dx,if y=12(1-cost),x=10(t-sint).pi/2lttltpi/2

    Text Solution

    |

  19. Find (dy/dx), if y=sin ^(-1) x+sin ^(-1) sqrt(1-x^2),-1 le x le 1

    Text Solution

    |

  20. if x sqrt(1+y)+ysqrt(1+x)=0 prove that (dy/dx)=-1/(1+x)^2

    Text Solution

    |