Home
Class 11
MATHS
Let h(x) = min {x, x^2}, x in R then h(x...

Let` h(x) = min {x, x^2}`, x in R then h(x) is

A

differentiable everywhere

B

non-differentiable at three values of x

C

non-differentiable at two values of x

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f (x) = min { 1, x^2 , x^3} then

h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4), then h(x) is

Let a=min{ x^2+2x+3, x in R } and b=lim_(thetararr0)(1-costheta)/(theta^2) . Then the value of sum_(r=0)^na^rb^(n-r)

Let f(x)=x^2 \ a n d \ g(x)=sinx for all x in R . Then the set of all x satisfying (fogogof)(x)=(gogof)(x),w h e r e (fog)(x)=f(g(x)), is

Let f(x)=min({x},{-x})AA epsilonR , where {.} denotes the fractional part of x . Then int_(-100)^(100) f(x)dx is equal to

Let f={(x, x^2/(1+x^(2))), x in R} be a function from R into R. Determine the range of f.

Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) is:

Let f(x) = x + 1/2 , then the number of real values of x for which the three unequal terms f(x), f(2x), f(4x) are in H.P. is

Let f:R to R be given by f(x) =|x^(2)-1|, x in R . Then

Let the function f : R to R , g : R to R , h : R to R be defined by f(x) = cos x,g(x) = 2x+1 and h(x) = x^(3)-x-6 , Find the mapping h o (go h) , hence find the value of h o (go f), hence find the value of ( h o (go f) ) (x) when x=(pi)/(3) and c=(2pi)/(3).

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. For a real number y, let [y] denotes the greatest integer less than or...

    Text Solution

    |

  2. If f(x)={(x^3, x gt 0),(0, x=0),(-x^3, x lt0):}

    Text Solution

    |

  3. Let h(x) = min {x, x^2}, x in R then h(x) is

    Text Solution

    |

  4. The set of all points where the functionf(x)= frac(x)(1+|x| is differe...

    Text Solution

    |

  5. Let f(x) = a+ b|x| + c|x|^4 where a, b and continuous are real constan...

    Text Solution

    |

  6. If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

    Text Solution

    |

  7. If f(x) = 2x + |x-x^2|, - 1 lex le1 then f(x) is

    Text Solution

    |

  8. Let f(x+y) = f(x) . f(y) for all x,y where f(0) ne 0. If f(5) =2 and f...

    Text Solution

    |

  9. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

    Text Solution

    |

  10. The values of constants a and b so as to make the function f(x)={(1/|x...

    Text Solution

    |

  11. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim(x rarr infty)f(x) is

    Text Solution

    |

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

    Text Solution

    |

  13. If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0, where n is non zero real ...

    Text Solution

    |

  14. lim(x rarrpi/4)(int2^(sec^2x) f(t)dt)/(x^2-pi^2/16)

    Text Solution

    |

  15. The value of lim(x rarr0)(int0^(x^2) cost^2dt)/(x sin x) is

    Text Solution

    |

  16. If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) gt 0 for all x in R, then lim(...

    Text Solution

    |

  17. If phi(x)=lim(nrarrinfty)(x^(2n)f(x)+g(x))/(1+x^(2n)), then

    Text Solution

    |

  18. Let f(x) = [x^3 - 3] where [.] denotes the greatest integer function T...

    Text Solution

    |

  19. If f(x)={(x[x], 0lexlt2),((x-1)[x], 2lexle3'):}, where [.] denotes the...

    Text Solution

    |

  20. If f(x)={(4, -3ltxlt-1),(5+x, -1lexlt0),(5-x, 0 lexlt2),(x^2+x-3, 2le...

    Text Solution

    |