Home
Class 12
PHYSICS
If y=sinx and x=3t then (dy)/(dt) will b...

If `y=sinx` and `x=3t` then `(dy)/(dt)` will be

A

`3cos(x)`

B

`cosx`

C

`-3cos(x)`

D

`-cosx`

Text Solution

Verified by Experts

The correct Answer is:
A

`y=sinx`,`x=3t`
`(dy)/(dx)=cosx`,`(dx)/(dt)=3`
`(dy)/(dt)=(dy)/(dx)xx(dx)/(dt)=3cosx=3cos(3t)`
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Comprehension Type|31 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|54 Videos
  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos
  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 Videos

Similar Questions

Explore conceptually related problems

if y=x^2sinx+(3x)/(tanx) , then (dy)/(dx) will be

If y = sinx - 3x then (dy)/(dx) =?

If y=x^2sinx ,then (dy)/(dx) will be..

If cos(x+y) = y sinx , then (dy)/(dx)

If y=sinx+e^(x), Then find (dy)/(dx) .

If y = 2^("log x ") , then (dy)/(dt) is

If y=log_(e)x+sinx+e^(x)" then "(dy)/(dx) is

Let y=x^(3)-8x+7 and x=f(t). If (dy)/(dt)=2 and x=3 at t=0, then (dx)/(dt) at t=0 is given by 1 (b) (19)/(2)(c)(2)/(19) (d) none of these

If x=t^(3) and y=t^(4) then (dy)/(dx) at "t=-1" is

If y=f(x^(3)),z=g(x^(2)),f'(x),=cosx and g'(x)=sinx," then "(dy)/(dz) is

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. Differentiation of sin(x^2) w.r.t. x is

    Text Solution

    |

  2. If y=2sin^2theta+tantheta then (dy)/(dtheta) will be

    Text Solution

    |

  3. If y=sinx and x=3t then (dy)/(dt) will be

    Text Solution

    |

  4. If y=sin(t^2), then (d^2y)/(dt^2) will be

    Text Solution

    |

  5. The displace ment of a body at any time t after starting is given by s...

    Text Solution

    |

  6. if y=x^2sinx+(3x)/(tanx), then (dy)/(dx) will be

    Text Solution

    |

  7. The value of the function (x-1)(x-2)^2 at its maxima is

    Text Solution

    |

  8. The adjacent sides of a rectangle with given perimeter as 100 cm and e...

    Text Solution

    |

  9. The area of a rectangle will be maximum for the given perimeter, when ...

    Text Solution

    |

  10. if x+y=10, thent he maximum value of xy is

    Text Solution

    |

  11. the sum of two numbers is fixed. Then its multiplication is maximum, w...

    Text Solution

    |

  12. If sum of two numbers is 3, then maximum value of the product of first...

    Text Solution

    |

  13. If from a wire of length 36 metre a rectangle of greatest area is made...

    Text Solution

    |

  14. 20 is divided into two parts so that product of cube of one quantity a...

    Text Solution

    |

  15. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

    Text Solution

    |

  16. Divide 20 into two parts such that the product of one part and the cub...

    Text Solution

    |

  17. The maximum and minimum values of x^3-18x^2+96x in interval (0,9) are

    Text Solution

    |

  18. The maximum values of sinx(1+cosx) will be at the

    Text Solution

    |

  19. The function f(x)=2x^3-3x^2-12x+4 has

    Text Solution

    |

  20. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |