Home
Class 12
MATHS
if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/...

`if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2),,8):}|,` then find the value of
`(d^(n))/(dx^(n)) [f(x)]_(x=0) .(n in z).`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f(x)=det[[x^(n),n!,2cos x,cos((n pi)/(2)),4sin x,sin((n pi)/(2)),8]], then find the value of (d^(n))/(dx^(n))[f(x)]_(x=0)]|

If f(x)=|{:(x^(n),sinx,cosx),(n!,"sin"(npi)/(2),"cos"(npi)/(2)),(a,a^(2),a^(3)):}| , then the value of (d^(n))/(dx^(n))(f(x))" at "x=0" for "n=2m+1 is

If A(x)=det[[x^(n),sin x,cos xn!sin((n pi)/(2)),cos((n pi)/(2))a,a^(2),a^(3)]], then the value of (d^(n))/(dx^(n))[Delta(x)] at x=0 is

If f(x)=|(x^n, sinx, cosx),(n!, sin((npi)/2), cos((npi)/2)),(a, a^2,a^3)| , then show that d^n/dx^n [f(x)] at x=0 is 0

Let I_(n)int_(0)^((pi)/(2))(sin x+cos x)^(n)dx(n>=2) Then the value of nI_(n)-2(n-1)I_(n-2) is

Let "f(x)"|{:(pi^n,sinpix,cospix),((-1)^(n)!,-sin((npi)/2),-cos((npi)/2)),(-1,1/sqrt2,sqrt3/2):}| Then value or d^n/(dx^n)["f(x)"]"at "x=1" is "

If s in x+cos ecx=2, then write the value of sin^(n)x+cos ec^(n)x

If x!=(n pi)/(2),n in I and (cos x)^(sin)(2x-3sin x+2)=1, then find the general solution of x.

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y=e^acos^((-1)x) , -1lt=xlt=1 , show that (1-x^2) (d^2y)/(dx^2)-x(d...

    Text Solution

    |

  2. If y=|sinxcosxsinxcosx-sinxcosxx1 1| , find (dy)/(dx) .

    Text Solution

    |

  3. if =|{:(x^(n),,n!,,2),(cos x,,cos.(npi)/(2),,4),(sin x,,sin .(npi)/(2)...

    Text Solution

    |

  4. If (1+x)^n=C0+C1+C2\ x^2+\ dot+Cn\ x^n , using derivatives prove th...

    Text Solution

    |

  5. If f,g,a n dh are differentiable functions of xa n d(x)=|fgh(xf)'(x...

    Text Solution

    |

  6. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  7. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  8. Evaluate ("Lim")(x->0)(xcosx-"ln"(1+x))/(x^2)

    Text Solution

    |

  9. Evaluate find a and b if \ ("Lim")(x->0)(x(1+acosx)-bsinx)/(x^3)=1

    Text Solution

    |

  10. ("Lim")(x->0)(e^xsinx-x-x^2)/(x^2+x-"ln"(1-x))

    Text Solution

    |

  11. Evaluate: ("Lim")(x->0)(1+sinx-cosx+"ln"(1-x))/(xtan^2x) -1/2 (b)...

    Text Solution

    |

  12. Evaluate: ("Lim")(x->0)((log)(secx/2)(cosx))/((log)(secx)(cos(x//2))) ...

    Text Solution

    |

  13. Evaluate: ("Lim")(x->1)(x^x-x)/(x-1-lnx)

    Text Solution

    |

  14. Evaluate: ("Lim")(x->0)(1-cosx cos2x cos3x)/(x^2)

    Text Solution

    |

  15. Evaluate: ("Lim")(x->0)((cosa x)^(1//m)-(cosb x)^(1//n))/(x^2)

    Text Solution

    |

  16. Evaluate: ("Lim")(x->0^+)("c o s e c"x)^(1/(lnx))

    Text Solution

    |

  17. Evaluate: ("Lim")(x->pi//2)(secx)^(cotx)

    Text Solution

    |

  18. Evaluate: ("Lim")(x->0^+)(cotx)^(1/(lnx))

    Text Solution

    |

  19. Evaluate: ("Lim")(x->0)(1/x)^(tanx)

    Text Solution

    |

  20. Evaluate: ("Lim")(x->0)x^x

    Text Solution

    |