Home
Class 12
MATHS
Differentiate sin^-1(2^(x+1)/(1+4^x)) w....

Differentiate `sin^-1(2^(x+1)/(1+4^x))` w.r.t x

Text Solution

Verified by Experts

The correct Answer is:
`(2*log2*2^(x))/(1+2^(2x))`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TRUE OR FALSE QUESTIONS) TYPE-III|6 Videos

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 Videos

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos

Similar Questions

Explore conceptually related problems

Differentiate sin^(-1)((2x)/(1 + x^2)) w.r.t. tan^(-1) x .

Differentiate sin^-1 ((2x)/(1+x^2)) w.r.t. cos^-1 ((1-x^2)/(1+x^2))

Differentiate sin^-1((x)/(sqrt(1+x^2)) w.r.t. cos^-1((1-x^2)/(1+x^2))

Differentiate tan^(-1)((2x)/(1 - x^2)) w.r.t. sin^(-1)((2x)/(1 + x^2))

Differentiate sin^-1 (x/(sqrt(1+x^2))) w.r.t. tan^-1 x .

Differentiate y = sin^-1 ((1-x^2)/(1+x^2)) ,w.r.t x

Differentiate tan^-1 (x/(sqrt(1-x^2))) w.r.t. sin^-1 x .

Differentiate tan^(-1)((sin x)/(1 + cos x)) w.r.t.x

Differentiate sin^(-1)(4xsqrt(1-4x^(2)))w.r.t.sqrt(1-4x^(2)) , if x in(-(1)/(2sqrt2),(1)/(2sqrt2))

ACCURATE PUBLICATION-DIFFERENTIABILITY-QUESTIONS CARRYING 4 MARKS
  1. If y=x^(cotx)+(sinx)^(x), find (dy)/(dx).

    Text Solution

    |

  2. Differentiate (sinx)^(x)+(cosx)^(sinx) w.r.t. x.

    Text Solution

    |

  3. Differentiate sin^-1(2^(x+1)/(1+4^x)) w.r.t x

    Text Solution

    |

  4. Differentiate the following with respect to x: sin^-1[(2^(x+1).3^x)/...

    Text Solution

    |

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

    Text Solution

    |

  6. If y = sin^(-1) ((2x)/(1 + x^2)) + sec^(-1) ((1 + x^2)/(1 - x^2)) , pr...

    Text Solution

    |

  7. If y = tan^(-1)((sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(...

    Text Solution

    |

  8. If y = sin^-1[xsqrt(1-x) - sqrtx (sqrt(1-x^2))] find dy/dx

    Text Solution

    |

  9. Differentiate tan^(-1) ((sqrt(1 + x^2) - 1)/(x)) w.r.t. sin^(-1) ((2x...

    Text Solution

    |

  10. Differentiate tan^(-1)((sqrt(1 - x^2))/(x)) w.r.t. cos^(-1)(2x sqrt(1 ...

    Text Solution

    |

  11. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  12. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |

  13. Find (dy)/(dx) when y=(sinx)^(x)+sin^(-1)sqrt(x).

    Text Solution

    |

  14. If y = 3 cos (log x) + 4 sin (log x) show that x^2 y2 + xy1 + y = 0

    Text Solution

    |

  15. If y=e^(ax)cosbx, then prove that (d^(2)y)/(dx^(2))-2a(dy)/(dx)+(a^(2)...

    Text Solution

    |

  16. If (a+bx)e^(y//x)=x, show that x^(3)y''=(xy'-y)^(2).

    Text Solution

    |

  17. If y=x^(3)log((1)/(x)), prove that (d^(2)y)/(dx^(2))-(2)/(x)(dy)/(dx)+...

    Text Solution

    |

  18. If x=tan((1)/(2)logy), then show that (1+x^(2))(d^(2)y)/(dx^(2))=(a-2x...

    Text Solution

    |

  19. If y=x^(x), prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x...

    Text Solution

    |

  20. If x^(p)y^(q)=(x+y)^(p+q), find (d^()y)/(dx^()).

    Text Solution

    |