Home
Class 12
MATHS
If y= 1- cos theta, x= 1- sin theta, the...

If `y= 1- cos theta`, `x= 1- sin theta`, then `dy/dx` at `theta` = `pi /4` is........ A) -1 B) 1 C) 44198 D) 1/`sqrt 2`

A

-1

B

1

C

44198

D

1/`sqrt 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos
  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos
  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

If y=log(1+ theta), x= sin^(-1) theta , then (dy)/(dx) =

if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(3pi)/(4) is

If x= a(cos theta + sin theta ), y= a(sin theta + cos theta ), then [( d^2 y)/(d x^2 ) ] at theta = pi /4 ............. A) 0 B) 1 C) -1 D) 1/sqrt 2

If x = a cos theta and y = b sin theta , find (dy)/(dx)

If x= e^2log_(e)(sin theta), y= e^2log_(e)(cos theta) , then dy/dx at theta=pi/4 ........... A) 1 B) -1 C) 0 D) 2

If x = e^theta (sin theta - cos theta ), y = e^theta (cos theta + sin theta ), then frac{dy}{dx} at theta = frac {pi}{4} is .......... (a) -1 (b) 1 (c) 1/2 (d) -1/2

Find dy/dx if, x= a cos^(3) theta , y= a sin^(3) theta at theta = pi / 3

If x=a cos^3theta,y=asin^3theta , then 1+((dy)/(dx))^2 is ___

2cos^2theta-2sin^2theta=1 then theta =

CHETANA PUBLICATION-Differentiation-Exercise
  1. If y= a cos(log x) and A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0 , then ...

    Text Solution

    |

  2. If x^y = e^(x-y), then dy/dx = ............ A) frac{1 + x}{1+ log x} ...

    Text Solution

    |

  3. If y= 1- cos theta, x= 1- sin theta, then dy/dx at theta = pi /4 is......

    Text Solution

    |

  4. If sec(frac{x+y}{x-y}) = a^2, then (d^2 y)/(dx^2) = ............ A) y...

    Text Solution

    |

  5. If y = sec^(-1) (frac{sqrt x - 1}{x+sqrt x}) + sin^(-1) (frac{x + sqr...

    Text Solution

    |

  6. Derivative of tan^3theta with respect to sec^3theta at theta = (pi/3) ...

    Text Solution

    |

  7. If x^5y = (x+y)^(n-2) and dy/dx = y/x, then n=..........

    Text Solution

    |

  8. If x= e^2log(e)(sin theta), y= e^2log(e)(cos theta), then dy/dx at ...

    Text Solution

    |

  9. If y= sqrt (log x + sqrt (log x + sqrt (log x + .......oo))), then dy/...

    Text Solution

    |

  10. If y= 5^(2log(5)(sin x)) + 7^(2log(7)(cos x)), then dy/dx= A) 1 B) -...

    Text Solution

    |

  11. If y= (sin^(-1) x)^2, then (1-x^2) (d^2 y)/(dx^2) - x (dy/dx) = .........

    Text Solution

    |

  12. If y= sin^(-1) (frac{5x+ 12 sqrt (1-x^2)}{13}), then (dy/dx) = ..........

    Text Solution

    |

  13. If x= a(theta - sin theta), y= a(1- cos theta), then dy/dx=......... A...

    Text Solution

    |

  14. If x= a cos^3 t, y= a sin^3 t, then dy/dx=..... A) -y/x B) -(y/x)^(1...

    Text Solution

    |

  15. If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^2) =..........

    Text Solution

    |

  16. If y= sin^2 (cot^(-1)sqrt (frac {1+x}{1-x})), then frac{dy}{dx}=.........

    Text Solution

    |

  17. If x = e^theta (sin theta - cos theta), y = e^theta (cos theta + sin t...

    Text Solution

    |

  18. The derivative of cos^(-1)(2x^2 -1) w.r.t. cos^(-1) x is ........... A...

    Text Solution

    |

  19. If x= a(cos t + tsin t), y= a(sin t- t cos t), then dy/dx ...............

    Text Solution

    |

  20. If y= cot^(-1)(frac {1-3x^2}{3x - x^3}), then dy/dx=....... A) frac{3...

    Text Solution

    |