Home
Class 12
MATHS
Differentiate y=(siny)^(sin2x)...

Differentiate `y=(siny)^(sin2x)`

Text Solution

Verified by Experts

The correct Answer is:
`(2ylog(siny)cos2x)/(1-ysin2xcoty)`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

  • QUESTION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

Similar Questions

Explore conceptually related problems

Differentiate. sin^2(cos^(-1)x)

Differentiate sin^(-1)(tanx) with respect to x.

Differentiate. x^(sin x)+(tan x)^x

Differentiate sin^(-1)(cos x) with respect to x.

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

Differentiate. a^(sin^-1x^2)

Differentiate (x^2-x+2)^2

Find the differential of y = sin^(2)x .

ARIHANT PUBLICATION-QUESTION PAPER 2018-SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
  1. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

    Text Solution

    |

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

    Text Solution

    |

  3. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  4. Test the continuity of the following function at x=0 f(x)={{:((1-e^(...

    Text Solution

    |

  5. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |

  6. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

    Text Solution

    |

  7. Evaluate int (dx)/((x+1)sqrt(1-x^2))

    Text Solution

    |

  8. int(0)^(1/2)(1)/(sqrt(1-x^(2)))dx.

    Text Solution

    |

  9. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  10. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  11. The position vectors of two points A and B are 3hati+hatj+2hatk and ha...

    Text Solution

    |

  12. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |

  13. Prove that [(veca+vecb,vecb+vecc,vecc+veca)]=2[(veca,vecb,vecc)].

    Text Solution

    |

  14. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  15. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

    Text Solution

    |

  16. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  17. int(0)^(1)(1)/(1-x^(2))dx.

    Text Solution

    |

  18. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |

  19. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

    Text Solution

    |

  20. By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...

    Text Solution

    |