Home
Class 11
MATHS
If y=1/4u^(4) " and " u=2/3x^(3)+5, " th...

If `y=1/4u^(4) " and " u=2/3x^(3)+5, " then " (dy)/(dx)` is

A

`1/27x^(2)(2x^(3)+15)^(3)`

B

`2/27x(2x^(3)+5)^(3)`

C

`2/27x^(2)(2x^(3)+15)^(3)`

D

`2/27x(2x^(3)+5)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-A (1 MARK)|6 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-B (2 MARKS)|4 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.4|28 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

If y = (1)/(4) mu^(4), mu= (2)/(3) x^(3) +5, then (dy)/(dx) is..............

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) non of these

(i). If y=x^(3)-1 , find (dy)/(dx) . (ii). If y=2x^(2)+4 , find (dy)/(dx)

If u(x,y) =x^(2) + 3xy + y-2019 , then ((del u)/(del x))_((4,-5)) is equal to

If y = ((x+3)/(2x-1))^(5) then find dy/dx .

If u=x^(y) + y^(x) , then u_(x) + u_(y) at x=y=1 is

If u =sqrt(x ^(4) +y ^(4)) show that x (delu)/(delx) + y ( del u)/(dely) =2u.

SURA PUBLICATION-DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 10.5
  1. d/(dx)(2/pisinx^(@)) is

    Text Solution

    |

  2. If y=f(x^(2)+2) " and " f'(3)=5, " then " (dy)/(dx) at x=1 is

    Text Solution

    |

  3. If y=1/4u^(4) " and " u=2/3x^(3)+5, " then " (dy)/(dx) is

    Text Solution

    |

  4. If f(x)=x^(2)-3x, then the points at which f(x)=f'(x) are

    Text Solution

    |

  5. If y=1/(a-z), " then " (dz)/(dy) is

    Text Solution

    |

  6. If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

    Text Solution

    |

  7. If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is

    Text Solution

    |

  8. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  9. d/dx(e^(x+5logx))

    Text Solution

    |

  10. If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...

    Text Solution

    |

  11. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  12. If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  13. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  14. If f(x)=x+2, " then " f'(f(x)) at x=4 is

    Text Solution

    |

  15. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

    Text Solution

    |

  16. If pv = 81, then (dp)/(dv) at v=9 is

    Text Solution

    |

  17. If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...

    Text Solution

    |

  18. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

    Text Solution

    |

  19. If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...

    Text Solution

    |

  20. If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...

    Text Solution

    |