Home
Class 12
MATHS
If cos y= x cos (a + y), with cos a ne +...

If `cos y= x cos (a + y)`, with `cos a ne +- 1`, prove that `(dy)/(dx) = (cos^(2) (a + y))/(sin a)`

Text Solution

Verified by Experts

The correct Answer is:
`(cos^(2) (a + y))/(sin a)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|100 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.8|20 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If x sin (a + y) + sin a cos (a + y)= 0 , then prove that (dy)/(dx)= (sin^(2) (a + y))/(sin a)

If y=5 cos x-3 sin x , prove that (d^(2)y)/(dx^(2)) + y= 0

Solve (dy)/(dx)+2y=cos x.

If y= A sin x + B cos x , then prove that (d^(2)y)/(dx^(2)) +y= 0

Solve (dy)/(dx) + x sin 2y = x^(3) cos^(2) y

Solve sin y. (dy)/(dx)=cos y(1-xcosy).

y - cos y = x : (y sin y + cos y + x)y' = y

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Miscellaneous Exercise - 5
  1. If xsqrt(1+y+)ysqrt(1+x)=0 then (dy)/(dx) equals.

    Text Solution

    |

  2. If (x-a)^(2) + (y-b)^(2) = c^(2), for some c gt 0, prove that ([1 + ((...

    Text Solution

    |

  3. If cos y= x cos (a + y), with cos a ne +- 1, prove that (dy)/(dx) = (c...

    Text Solution

    |

  4. If x=a (cos t+ t sin t) and y= a (sin t - t cos t), find (d^(2)y)/(dx^...

    Text Solution

    |

  5. If f(x) = |x|^(3), show that f''(x) exists for all real x and find it

    Text Solution

    |

  6. Using mathematical induction prove that (d)/(dx) (x^(n))= n x^(n-1) fo...

    Text Solution

    |

  7. Using the fact that sin (A +B) = sin A.cos B+ cos A sin B and the diff...

    Text Solution

    |

  8. Does there exist a function which is continuous everywhere but not dif...

    Text Solution

    |

  9. If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)|, prove that (dy)/(dx)= |(f'(x...

    Text Solution

    |

  10. If y = e^(a cos^(-1)x) show that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(d...

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate w.r.t x the function sin^(3) x + cos^(6)x

    Text Solution

    |

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

    Text Solution

    |

  14. Differentiate w.r.t x the function sin^(-1) (x sqrtx), where 0 le x le...

    Text Solution

    |

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

    Text Solution

    |

  16. Differentiate w.r.t x the function 0 lt x lt (pi)/(2), cot^(-1) [(sqrt...

    Text Solution

    |

  17. Differentiate w.r.t x the function (log x)^(log x), x gt 1

    Text Solution

    |

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

    Text Solution

    |

  19. Differentiate w.r.t x the function (pi)/(4) lt x lt (3pi)/(4), (sin x ...

    Text Solution

    |

  20. Differentiate w.r.t x the function x^(x) + x^(a) + a^(x) + a^(a), for ...

    Text Solution

    |