Home
Class 12
MATHS
Check the differentiability if f(x) = mi...

Check the differentiability if `f(x) = min. {1, x^(2), x^(3)}`.

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

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Solve sin^(-1)xlecos^(-1)x graphically. Check the differentiability of f (x) =min. {sin^(-1)xlecos^(-1)x} . Also find the range of y = f(x)

Discuss the differentiability of f(x)=x^3 at x=1

Drew the graph of the function and find the points of non-differentiability .(i) f(x) = min ,{x, sin x}.

If f(x) min(x,x^(2),x^(3)) , then

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

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

Discuss the differentiability of f(x)="max"{x^2-3x+2,2-|x-1|}

The total number of points of non-differentiability of f(x) = min[|sin x|,|cos x|, (1)/(4)]"in"(0, 2pi) is

Discuss the differentiability of f(x)=|px[x]| ,-1 < x <= 2

The number of non differentiability of point of function f (x) = min ([x] , {x}, |x - (3)/(2)|) for x in (0,2), where [.] and {.} denote greatest integer function and fractional part function respectively.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
  1. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

    Text Solution

    |

  2. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

    Text Solution

    |

  3. Check the differentiability if f(x) = min. {1, x^(2), x^(3)}.

    Text Solution

    |

  4. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  5. Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...

    Text Solution

    |

  6. For the function f(x)=x cos ""1/x, x ge 1 which one of the following i...

    Text Solution

    |

  7. Let f : R rarr R be a function such that f(x+y) = f(x) + f(y), AA x, y...

    Text Solution

    |

  8. if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)),(- cos x, -(pi)/(2)lt x ,le 0...

    Text Solution

    |

  9. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  10. Let f:[a,b]to[1,oo) be a continuous function and let g:RtoR be defined...

    Text Solution

    |

  11. Let F:RtoR be a thrice differntiable function. Suppose that F(1)=0,F(3...

    Text Solution

    |

  12. Let F : R to R be a thrice differentiable function . Suppose that F(...

    Text Solution

    |

  13. Given that for each a epsilon(0,1),lim(hto 0^(+)) int(h)^(1-h)t^(-a)(1...

    Text Solution

    |

  14. Given that for each a epsilon(0,1),lim(hto 0^(+)) int(h)^(1-h)t^(-a)(1...

    Text Solution

    |

  15. Let fandg be real valued functions defined on interval (-1,1) such tha...

    Text Solution

    |

  16. Let alpha,betainR be such that underset(xto0)lim(x^(2)sin(betax))/(alp...

    Text Solution

    |

  17. If f(x) is a polynomial of degree 4 having extremum at x=1,2 and lim(x...

    Text Solution

    |

  18. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  19. The largest value of the non-negative integer a for which lim(xto1) ...

    Text Solution

    |

  20. Let f: R to R and g:R to R be respectively given by f(x) =|x|+1 and g...

    Text Solution

    |