Home
Class 12
MATHS
The number of points at which g(x)=1/(1+...

The number of points at which `g(x)=1/(1+2/(f(x)))` is not differentiable, where `f(x)=1/(1+1/x)` , is a. `1` b. `2` c. `3` d. `4`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

Number of points at which f(x) = |x^2+x|+|x-1| is non-differentiable is

Let f(x) = |x|-1|, then points where f(x), is not differentiable is/are :

Number of points where f(x)=| x sgn(1-x^2)| is non-differentiable is a. 0 b. 1 c. 2 d. 3

Examine the differentiability of f(x) = 2x^(2)+ 1 at x = 1 .

The number of points of discontinuity of g(x)=f(f(x)) where f(x) is defined as, f(x)={1+x ,0lexle2 3-x ,2ltxle 3

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

Examine the differentiability of f(x) =2x+|x-1| at x = 1

The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is satisfied, where f(x)=b x^2+c x+d ,a r e b=2,c=1 (b) b=4,c=-1 b=-1, c=4 (d) b=-1,c=1

If f(x)=x^5-3x^3+2x^2+1 . Find the differentiation of f(x) w.r.t.x.

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let f(x)={lim(n->oo)(a x(x-1)(cot((pix)/4))^n+(p x^2+2))/((cot((pix)/...

    Text Solution

    |

  2. If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...

    Text Solution

    |

  3. The number of points at which g(x)=1/(1+2/(f(x))) is not differentiabl...

    Text Solution

    |

  4. If f(x)=x^(1//3)(x-2)^(2//3) for all x , then the domain of f' is a. x...

    Text Solution

    |

  5. Consider two functions y=f(x) and y=g(x) defined as f(x)={[a x^2 +b...

    Text Solution

    |

  6. Let f be a function with continuous second derivative and f(0)=f^(prim...

    Text Solution

    |

  7. Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x)...

    Text Solution

    |

  8. Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...

    Text Solution

    |

  9. Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...

    Text Solution

    |

  10. For which of the following functions f(0) exists such that f(x) is con...

    Text Solution

    |

  11. Let f(x)=x^(3)-x^(2)-3x-1, g(x)=(x+1)a and h(x)=(f(x))/(g(x)) where h...

    Text Solution

    |

  12. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

    Text Solution

    |

  13. If f(x)={sin(pi/2)(x-[x]),x<5 5(b-1),x=5(a b^2|x^2-11 x+24|)/(x-3),x >...

    Text Solution

    |

  14. The function f(x) is discontinuous only at x=0 such that f^2(x)=1AAx i...

    Text Solution

    |

  15. f(x)={(x^2+e^(1/(2-x)))^(-1)k ,x=2, x!=2 is continuous from right at t...

    Text Solution

    |

  16. If the function f(x)=((128 a+a x)^(1//8)-2)/((32+b x)^(1//5)-2) is con...

    Text Solution

    |

  17. If f(x)={(1-cos(1-cos x/2))/(2^m x^n)1x=0,x!=0 is continous at x=0 the...

    Text Solution

    |

  18. f is a continous function in [a, b]; g is a continuous function in [b,...

    Text Solution

    |

  19. If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(a x+b x...

    Text Solution

    |

  20. Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):}. If f...

    Text Solution

    |