Home
Class 11
MATHS
If f (x) = min { 1, x^2 , x^3} then...

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

A

f (x) is continuous everywhere

B

f (x) is continuous and differentiable everywhere

C

f (x) is not differentiable at two points

D

f (x) is not differentiable at one point

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f(x) =log e (1 + x)/(1 - x) and g(x) = (3x + x^3)/(1 + 3x^2) , then prove that f[g(x)] = 3 cdot f(x) .

If f(x+3) = 2x^2-3x-1 , find the value of f(x+1).

If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

f(x)= min{1, cosx, 1-sinx}, -pilexlepi then

If f(x + 2) = 2x^2 - 3x - 1 , find the value of f(x + 1)

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is (a) -4 (b) -2 (c) -6 (d) 0

If 2f(x) - 3f(1/x) = x^2 (x ne 0) , then find f(2).

If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1)) is-

lf f(x)={(x^3, x 2):} , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. A function is defined as f(x) = {(e^x, xle0),(|x-1|, x gt0):}, then f(...

    Text Solution

    |

  2. If f(x) = |x-a| phi (x), where phi(x) is continuous function, then

    Text Solution

    |

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

    Text Solution

    |

  4. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

    Text Solution

    |

  5. For function f(x) = xcosfrac(1)(x),xge 1

    Text Solution

    |

  6. মান নির্ণয় করো cos sin^-1(-sqrt3/2)

    Text Solution

    |

  7. The function y = sin^-1(cosx) is not differentiable at

    Text Solution

    |

  8. If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0 then for xg...

    Text Solution

    |

  9. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  10. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  11. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  12. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  13. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  14. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  15. f(x) is not differentiable at x=c if either Lf'( c )neRf'( c ) [if the...

    Text Solution

    |

  16. If f(x)={(x[x], 0lexlt2),((x-1)[x],2lexle3):}, then f(x) is

    Text Solution

    |

  17. f(x) is not differentiable at x=c if either Lf'( c )neRf'( c ) [if the...

    Text Solution

    |

  18. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  19. Match List - I with List-II

    Text Solution

    |

  20. If [x] denotes greatest integer le x, then match the following limits ...

    Text Solution

    |