Home
Class 11
MATHS
Let g: RvecR be a differentiable functio...

Let `g: RvecR` be a differentiable function satisfying `g(x)=g(y)g(x-y)AAx , y in R` and `g^(prime)(0)=aa n dg^(prime)(3)=bdot` Then find the value of `g^(prime)(-3)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 y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then find the value of (lim)_(xvec0)(((dy)/(dz)))/x

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)

Let g (x) be a differentiable function satisfying (d)/(dx){g(x)}=g(x) and g (0)=1 , then intg(x)((2-sin2x)/(1-cos2x))dx is equal to

Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) + g(xy) -2 for all x, y in R and g(1) != 1 . If g(3) = 10 then g(5) equals

Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R and f(0)!=0 Then g(x)=f(x)/(1+[f(x)]^2) is

Let g(x) be a function satisfying g(0) = 2, g(1) = 3, g(x+2) = 2g(x+1), then find g(5).

Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) are differentiable functions. At some point x_0,F^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)4f(x_0),g^(prime)(x_0)=-7g(x_0), then the value of g^(prime)(1) is ________

Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(2)=0,f(4)=10 ,a n dg(4)=8. Then prove that g^(prime)(x)=4f^(prime)(x) for at least one x in (2,4)dot

Let f(x)a n dg(x) be two differentiable functions in Ra n df(2)=8,g(2)=0,f(4)=10 ,a n dg(4)=8. Then prove that g^(prime)(x)=4f^(prime)(x) for at least one x in (2,4)dot

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...

    Text Solution

    |

  2. Let f(x^m y^n)=mf(x)+nf(y) for all x , y in R^+ and for all m ,n in ...

    Text Solution

    |

  3. Let g: RvecR be a differentiable function satisfying g(x)=g(y)g(x-y)AA...

    Text Solution

    |

  4. If f,g, and h are differentiable functions of x and (delta)=|[f,g,h]...

    Text Solution

    |

  5. Let f be a function such that f(x+y)=f(x)+f(y) for all xa n dya n df(x...

    Text Solution

    |

  6. If f((x+y)/3)=(2+f(x)+f(y))/3 for all x,y f'(2)=2 then find f(x)

    Text Solution

    |

  7. Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x) (without using...

    Text Solution

    |

  8. Let f(x+y)=f(x)+f(y)+2x y-1 for all real x and y and f(x) be a differe...

    Text Solution

    |

  9. If x=e^(y+e^(y+e^y....oo) , where x &gt0,then find(dy)/(dx)

    Text Solution

    |

  10. Let f: RvecR be a function satisfying condition f(x+y^3)=f(x)+[f(y)]^3...

    Text Solution

    |

  11. If x y=e^((x-y)), then find (dy)/(dx)

    Text Solution

    |

  12. (dy)/(dx) for y=tan^(-1){sqrt((1+cosx)/(1-cosx))} ,where 0 lt x lt pi,...

    Text Solution

    |

  13. If y^x=x^y ,"then find"(dy)/(dx)dot

    Text Solution

    |

  14. Differentiate (xcosx)^x with respect to xdot

    Text Solution

    |

  15. If f(xy)=(f(x))/y+(f(y))/x holds for all real x and y greater than 0 a...

    Text Solution

    |

  16. Find (dy)/(dx) for y=x^xdot

    Text Solution

    |

  17. If Pn is the sum of a GdotPdot upto n terms (ngeq3), then prove that (...

    Text Solution

    |

  18. If y=f(a^x)a n df^(prime)(sinx)=(log)e x ,then f i n d ((dy)/(dx)), if...

    Text Solution

    |

  19. if x<1 then 1/(1+x)+(2x)/(1+x^2)+(4x^3)/(1+x^4)+..............oo

    Text Solution

    |

  20. Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3))

    Text Solution

    |