Home
Class 11
MATHS
If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(...

If `f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8|` then find the value of `(d^n)/(dx^n)([f(x)])_(x=0)dot(n in z)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|[x^n, n!, 2; cosx, cos((npi)/2), 4; sinx ,sin((npi)/2), 8]| then find the value of (d^n)/(dx^n)([f(x)])_(x=0)dot(n in z)dot

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).

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

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 x-1/x=3,\ find the values of x^2+1/(x^2)a n d\ x^4+1/(x^4)dot

Ifint_0^(npi)f(cos^2x)dx=kint_0^pif(cos^2x)dx , then find the value of k

f(x)=e^(x)-e^(-x)-2 sin x -(2)/(3)x^(3). Then the least value of n for which (d^(n))/(dx^(n))f(x)|underset(x=0) is nonzero is

f(x)=e^(x)-e^(-x)-2 sin x -(2)/(3)x^(3). Then the least value of n for which (d^(n))/(dx^(n))f(x)|underset(x=0) is nonzero is

If ("lim")_(x->a)[f(x)+g(x)]=2a n d ("lim")_(x->a)[f(x)-g(x)]=1, then find the value of ("lim")_(x->a)f(x)g(x)dot

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=sinx+e^x , then f''(x)

    Text Solution

    |

  2. "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is

    Text Solution

    |

  3. If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...

    Text Solution

    |

  4. Let f((x+y)/(2))= (f(x)+f(y))/(2) for all real x and y. If f'(0) exits...

    Text Solution

    |

  5. If y^(1/m)=(x+sqrt(1+x^2)),t h e n(1+x^2)y2+x y1 is (where yr repres...

    Text Solution

    |

  6. Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and deriva...

    Text Solution

    |

  7. f(x)+f(y)=f((x+y)/(1-xy)) ,for allx,yinR.(xy!=1),and lim(x->0) f(x)/x=...

    Text Solution

    |

  8. Let f: R->R satisfying |f(x)|lt=x^2,AAx in R be differentiable at x...

    Text Solution

    |

  9. If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a)11-...

    Text Solution

    |

  10. If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is

    Text Solution

    |

  11. Suppose p(x)=a0+a1x+a2x^2+...+an x^ndot If |p(x)|lt=|e^(x-1)-1| for al...

    Text Solution

    |

  12. Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)...

    Text Solution

    |

  13. A function f satisfies the condition f(x)=f^(prime)(x)+f''(x)+f'''(x)....

    Text Solution

    |

  14. Let f(x y)=f(x)f(y)AAx , y in Ra n df is differentiable at x=1 such t...

    Text Solution

    |

  15. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1...

    Text Solution

    |

  16. Find (dy)/(dx) for the functions: y=x^3e^xsinx

    Text Solution

    |

  17. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b)...

    Text Solution

    |

  18. If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7...

    Text Solution

    |

  19. Let g(x) be the inverse of an invertible function f(x) which is diff...

    Text Solution

    |

  20. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2...

    Text Solution

    |