Home
Class 11
MATHS
If g(x)=|(f(x+c),f(x+2c),f(x+3c)),(f(c),...

If `g(x)=|(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(3c))|,` where c is a constant, then `lim_(x rarr0)(g(x))/(x)` is equal to

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

"Let "g(x)=|{:(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(3c)):}|, where c is constant, then find lim_(xrarr0) (g(x))/(x).

"Let "g(x)=|{:(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(3c)):}|, where c is constant, then find lim_(xrarr0) (g(x))/(x).

If intf(x)dx=3[f(x)]^(2)+c (where c is the constant of integration) and f(1)=(1)/(6) , then f(6pi) is equal to

Let f(x)=int_(-x)^(x)(t sin at + bt +c) dt, where a,b,c are non-zero real numbers , then lim_(x rarr0) (f(x))/(x) is

If f(x) + f(y) = f(xy-sqrt(1-x^(2))sqrt(1-y^(2))), f(0) = (pi)/(2) and f is differentiable in (-1, 1). Then |lim_(x rarr 0)(2f(x)-pi)/(x)|=

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

Write the value of lim_(x->c)(f(x)-f(c))/(x-c) .

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

If the integral int(lnx)/(x^(3))dx=(f(x))/(4x^(2))+C , where f(e )=-3 and C is the constant of integration, then the value of f(e^(2)) is equal to

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If y=cos^(-1)x ,find (d^2y)/(dx^2).

    Text Solution

    |

  2. If y^2=P(x), then 2d/dx(y^3(d^2y/dx^2))

    Text Solution

    |

  3. If g(x)=|(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(...

    Text Solution

    |

  4. If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of li...

    Text Solution

    |

  5. If x=a(cost+tsint) and y=a(sint-tcost), find (d^2y)/(dx^2)

    Text Solution

    |

  6. Let y=(2^((log)2 1/4x)-3^((log)(27) (x^2+1)^3-2x))/(7^(4(log)(49)x)-...

    Text Solution

    |

  7. (lim)(hvec0)((e+h)^(1n(e+h))-e)/hi s

    Text Solution

    |

  8. If (x-a)^2+(y-b)^2=c^2, for some c >0, prove that([1+((dy)/(dx))^2]^(...

    Text Solution

    |

  9. if y=(x^2-1)^m , then the (2m)th differential coefficient of y is

    Text Solution

    |

  10. If function f satisfies the relation f(x)*f^(prime)(-x)=f(-x)*f^(prim...

    Text Solution

    |

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

    Text Solution

    |

  12. If y=e^(acos^(-1)x),-1lt=x<1,s how t h a t (1-x^2)(d^2y)/(dx^2)-x(dy)...

    Text Solution

    |

  13. Let f(x)=(x-1)(x-2)(x-3)--(x-n),n in N ,a n df(n)=5040. Then the valu...

    Text Solution

    |

  14. If y=((a x+b))/((x^2+c)) , then find dy/dx .

    Text Solution

    |

  15. If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

    Text Solution

    |

  16. y=f(x), where f satisfies the relation f(x+y)=2f(x)+xf(y)+ysqrt(f(x)),...

    Text Solution

    |

  17. 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 ...

    Text Solution

    |

  18. Prove that (d^n)/(dx^n)(e^(2x)+e^(-2x))=2^n[e^(2x)+(-1)^n e^(-2x)]

    Text Solution

    |

  19. If e^y(x+1)=1, show that (d^2y)/(dx^2)=((dy)/(dx))^2

    Text Solution

    |

  20. If e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+sqrt(1-t))a and tany/2=sqrt((...

    Text Solution

    |