Home
Class 12
MATHS
If y = t^(2) + t - 1 " then " (dy)/(dx) ...

If `y = t^(2) + t - 1 " then " (dy)/(dx) ` is equal to

A

`2t + 1`

B

0

C

` t^(2) + t - 1`

D

Not defined

Text Solution

Verified by Experts

The correct Answer is:
B
`(dy)/(dx) = (d)/(dx) (t^(2) + t -1)`
= 0
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1 (HIGHER ORDER DERIVATIVE )|15 Videos

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • FACTORIZATION FORMULAE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|21 Videos

Similar Questions

Explore conceptually related problems

If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equal to

If x = log (1 + t^(2)) " and " y = t - tan^(-1)t, " then" dy/dx is equal to

If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)) , then (dy)/(dx) is equal to

If x=a(cos t+(log tan)(1)/(2)),y=a sin t then (dy)/(dx) is equal to

If t(1+x^(2))=x and x^(2)+t^(2)=y, then at x=2 the value of (dy)/(dx) is equal to

If x=a(t-sin t),y=a(1-cos t), then (dy)/(dx) is equal to

If x= sin^(-1)(3t-4t^(3)) and y=cos^(-1)(sqrt(1-t^(2))) , then (dy)/(dx) is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIATION -EXERCISE 2 (MISCELLANEOUS PROBLEMS)
  1. If x = e^(x//y), then dy/dx is equal to

    Text Solution

    |

  2. If f(x) = log ((m(x))/(n(x))), m(1) = n(1) = 1 and m'(1) = n'(1)...

    Text Solution

    |

  3. If y = t^(2) + t - 1 " then " (dy)/(dx) is equal to

    Text Solution

    |

  4. If xe^(xy)=y+sin^2x then at x=0 (dy)/dx=

    Text Solution

    |

  5. If y=sqrt(x(log)e x) , then find (dy)/(dx) at x=e .

    Text Solution

    |

  6. Let y=e^(2x)dotT h e n((d^2y)/(dx^2))((d^2x)/(dy^2))i s

    Text Solution

    |

  7. If f(x)=|x-2| and g(x)=f(f(x)), then g'(x)"for "x gt 20,is

    Text Solution

    |

  8. If y=(a+b x^(3/2))/(x^(5/4))a n dy^(prime)=0a tx=5, then the value o...

    Text Solution

    |

  9. The value of (d)/(dx) (|x-1| + |x -5|) at x = 3 is

    Text Solution

    |

  10. If y=f(x)" and "ycosx+cosy=pi, then the value of f''(0) is

    Text Solution

    |

  11. Derivatives of y = cos^(-1) sqrt((cos 3x)/(cos ^(3) x)) with respect ...

    Text Solution

    |

  12. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

    Text Solution

    |

  13. If y = In ((x)/(a + bx))^(x), "then " x^(3)(d^(y))/(dx^(2)) is equa...

    Text Solution

    |

  14. If (d^(2)x)/(dy^(2)) ((dy)/(dx))^(3) + (d^(2) y)/(dx^(2)) = k , then...

    Text Solution

    |

  15. If f(x) = |cos x - sin x| , " then " '((pi)/(6)) is equal to

    Text Solution

    |

  16. If f' (x) = sin (log x) and y = f((2x+3)/(3- 2x)), " then " (dy)/(...

    Text Solution

    |

  17. If u = x^(2) + y^(2) " and " x = s + 3t, y = 2s - t , " then " (d^(2...

    Text Solution

    |

  18. If the function f(x) is defined by f(x) = a + bx and f^(r) = fff … ...

    Text Solution

    |

  19. If f(x) = x^(3) + x^(2) * f' (1)+ xf''(2) + f''(2) + f'''(3) , AA x i...

    Text Solution

    |

  20. If x = tan""(y)/(2) - log[((1 + tan""(y)/(2))^(2))/(tan""(y)/(2))], "t...

    Text Solution

    |