Home
Class 12
MATHS
If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x...

If `("lim")_(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2,` then find the value of `f^(prime)(0)dot` 4 (b) 2 (c) 0 (d) 1

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If lim_(trarrx)(e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^(2))=2 andf(0)=(1)/(2), then find the value of f'(0).

If lim_(trarrx) (e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^(2))=2 andf(0)=(1)/(2), then find the value of f'(0).

Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4), then find the value of f^(prime)(2)

Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4), then find the value of f^(prime)(2)

If int_0^xf(t) dt=x+int_x^1 tf(t)dt, then the value of f(1)

If lim_(t rarr x)(x^2f^2(t)-t^2f^2(x))/(t-x)=0 and f(1)=e then solution of f(x)=1 is

Let a function f(x)s a t i sfi e sf(x)+f(2x)+f(2-x)+f(1+x)=AAx in Rdot Then find the value of f(0)dot

Ifint_(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find the value of f(1/(sqrt(3)))dot

If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) {f(1)}^n (c) 0 (d) none of these

If f(x)=(1+x)^2, then the value of f(x0)+f^(prime)(0) +(f^(0))/(2!)+(f^(0))/(3!)+(f^n(0))/(n !)dot

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. (a^4-1)x^2-(a^2+1)(sin^(-1)sin^3 2)x+(cos^(-1)cos2)(a^2-1)=0 . Find th...

    Text Solution

    |

  2. Let x and y be positive real numbers and theta an angle such that ...

    Text Solution

    |

  3. If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2, the...

    Text Solution

    |

  4. The tangent to y = ax ^(2)+ bx + (7 )/(2) at (1,2) is parallel to the ...

    Text Solution

    |

  5. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

    Text Solution

    |

  6. If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...

    Text Solution

    |

  7. If I=intdx/(x^4sqrt(a^2+x^2)),t h e nI equals 1/(a^4)[1/xsqrt(a^2+x^2...

    Text Solution

    |

  8. If f(x)={[e^x+a, xlt0],[x-3, xge0]}, is differentiable at x=0, then...

    Text Solution

    |

  9. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |

  10. A function y-f (x) satisfies the differential equation f (x) sin 2x ...

    Text Solution

    |

  11. If alpha,beta , are roots of the equation x^2+x sqrt(alpha)+beta=0 the...

    Text Solution

    |

  12. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  13. 16 players P1,P2,P3,.. P16 take part in a tennis tounament. Lower suff...

    Text Solution

    |

  14. A card is lost from a pack of 52 playing cards. From the remainder of ...

    Text Solution

    |

  15. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis ...

    Text Solution

    |

  16. If f(x)=cos^(-1)(sgn((2[x])/(3x-[x]))), where sgn ( ) denotes the sign...

    Text Solution

    |

  17. 16 players P(1),P(2),P(3),….P(16) take part in a tennis tournament. Lo...

    Text Solution

    |

  18. If circles are drawn taking two sides of a triangle as diameters, prov...

    Text Solution

    |

  19. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

    Text Solution

    |

  20. Let there be 4 boys and 4 girls are standing in a row. If m is the ...

    Text Solution

    |