Home
Class 12
MATHS
If y=e^(sin^(-1)x) and u=logx then what ...

If `y=e^(sin^(-1)x)` and u=logx then what is `(dy)/(du)`?

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If y=x sin^(-1)x +x cos^(-1)x , then whtat is (dy)/(dx) ?

If y=(sinx)^(x)+sin^(-1)sqrt(x) , then find (dy)/(dx) .

If y=x sin^-1x+xcos^-1x , then what is dy/dx ?

If y=e^(m sin ^(-1)x) , then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0 .

If y=sin^(-1)(x^3) , then find that dy/dx

If y=(logx)/(x) , then find (dy)/(dx)

if y=e^(cos^(-1)x) then find dy/dx .

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  2. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  3. If y=e^(sin^(-1)x) and u=logx then what is (dy)/(du)?

    Text Solution

    |

  4. Find the slope of the tangent to the curve x=2(theta-sin2theta),y=2(...

    Text Solution

    |

  5. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  6. Differentiate sec^(-1)((x+x^(-1))/(x-x^(-1))) w.r.tx.

    Text Solution

    |

  7. Prove that y=tan(x+y), then (dy)/(dx)=(1+y^(2))/(-y^(2))

    Text Solution

    |

  8. Find (dy)/(dx), if y=log(x^(2)) 3.

    Text Solution

    |

  9. Find (dy)/(dx)when y=10^(sin x).

    Text Solution

    |

  10. If F(x)= intx^(x^2)e^(-t^4) dt then find F^1(x).

    Text Solution

    |

  11. If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III ...

    Text Solution

    |

  12. Find the derivative of sin^(-1)((2x^3)/(1+x^6)).

    Text Solution

    |

  13. Find the derivative of tan^(-1)(cos^2x).

    Text Solution

    |

  14. Examine the differentiability of ln x^(2) for all real values of x.

    Text Solution

    |

  15. Find (dy)/(dx) when y=tan^(-1) ((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x)...

    Text Solution

    |

  16. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

    Text Solution

    |

  17. Find (dy)/(dx) wheny=x^y.

    Text Solution

    |

  18. If 2z=x(2+(dz)/(dx)), then prove that (d^(2)z)/(dx^(2)) is a constant.

    Text Solution

    |

  19. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  20. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

    Text Solution

    |