Home
Class 12
MATHS
If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)...

If `u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b))` is equal to `(d^n)/(d u^n)(f(u))` b. `a(d^n)/(d u^n)(f(u))` c. `a^n(d^n)/(d u^n)` d. `a^(-n)(d^n)/(dx^n)(f(u))`

A

`(d^(n))/(du^(n))(f(u))`

B

`a(d^(n))/(du^(n))(f(u))`

C

`a^(n)(d^(n))/(du^(n))(f(u))`

D

`a^(-n)(d^(n))/(du^(n))(f(u))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|17 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|13 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

If u=ax+b, then (d^(n))/(dx^(n))(f(ax+b)) is equal to a.(d^(n))/(du^(n))(f(u)) b.a(d^(n))/(du^(n))(f(u)) c.a^(n)(d^(n))/(du^(n))f(u) d.a^(-n)(d^(n))/(dx^(n))(f(u))

(d^(n))/(dx^(n))((1)/(ax+b))

If u_n = 2cos n theta then u_1u_n - u_(n-1) is equal to

If y=ax^(n+1)+bx^(-n), then x^(2)(d^(2)y)/(dx^(2)) is equal to n(n-1)y(b)n(n+1)yny(d)n^(2)y

If u_(n)=int(log x)^(n)dx, then u_(n)+nu_(n-1) is equal to :

If U_(n)=2cos n theta, then U_(1)U_(n)-U_(n-1) is equal to -

(d^(n))/(dx^(n))(log x)=(a)((n-1)!)/(x^(n))(b)(n!)/(x^(n))(c)((n-2)!)/(x^(n))(d)(-1)^(n-1)((n-1)!)/(x^(n))

Let f(n)=2cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to (a)f(n+3) (b) f(n+2)(c)f(n+1)f(2)(d)f(n+2)f(2)

If u_(n)=int_(0)^((pi)/(2))x^(n)sin xdx then u_(10)+90u_(8) is equal to

If int(dx)/(x^(2)(x^(n)+1)^((n-1)/(n)))=-(f(x))^((1)/(n))+C then f(x) is (A)1+x^(n)(B)1+x^(-n)(C)x^(n)+x^(-n)(D)x^(n)-x^(-n)

MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 1
  1. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

    Text Solution

    |

  2. If y=sin^(-1)((x^2-1)/(x^2+1))+sec^(-1)((x^2+1)/(x^2-1)) then dy/dx is...

    Text Solution

    |

  3. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |

  4. If y = sin^-1((2x)/(1+x^2)) then (dy)/(dx) at x=-2is

    Text Solution

    |

  5. If y=x-x^2, then the derivative of y^2 w.r.t x^2 is

    Text Solution

    |

  6. The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

    Text Solution

    |

  7. The value of derivative of tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2)))w.r...

    Text Solution

    |

  8. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  9. If y=sqrt(x)^(sqrt(x)^(sqrt(x)^sqrt(x)...00)), "then the value of"(dy)...

    Text Solution

    |

  10. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

    Text Solution

    |

  11. If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2...

    Text Solution

    |

  12. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  13. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  14. LEt f(x) be a differentiable function and f'(4)=5. Then, lim(x->2)(f(4...

    Text Solution

    |

  15. If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)) is equal to (d^n)/(d u^n)(f(...

    Text Solution

    |

  16. Let f(x) be a polynomial in x . Then the second derivative of f(e^x)wd...

    Text Solution

    |

  17. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

    Text Solution

    |

  18. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  19. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

    Text Solution

    |

  20. If x=a t^2,y=2a t , then (d^2y)/(dx^2) is equal to -1/(t^2) (b) 1/(2a...

    Text Solution

    |