Home
Class 12
MATHS
Given f(x)=2x,xlt0=0,xge0,"then "f(x) is...

Given `f(x)=2x,xlt0=0,xge0,"then "f(x)` is

A

discontinuous and not differentiable at x =0

B

continuous and differentiable at x =0

C

discontinuous and differentiable at x=0

D

continuous and not differentiable at x =0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

The point(s), at which the function f given by f(x) = {{:((x),xlt0),(-1,xge0):} is continuous, is/are:

(c) quad If f(x)={[-x;,xlt0|x-2|;,xgt=0 ,then find the number of solutions of the equation f(f(x))=1

Let f(x)=[2+x,,xgt=0 , 4-x,,xlt0, If f(f(x))=k has at least one solution,then smallest value of k is

What is the equivalent definition of the function given by {:f(x)={(2x",",xge0),(0",",lt0):}

Draw the graph of f(x) if f(x) = {(x-2,xlt0),(x,0lt=x):} Is it a continuous function ?

Let f(x)={{:(0,x lt 0),(x^(2),xge0):} , then for all values of x

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = ...

    Text Solution

    |

  2. If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...

    Text Solution

    |

  3. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

    Text Solution

    |

  4. If x=a sin theta ,y =bcos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  5. If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...

    Text Solution

    |

  6. If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) ...

    Text Solution

    |

  7. If x =theta -sin theta ,y=1-cos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  8. if x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) then (d^...

    Text Solution

    |

  9. If x= sin sqrtt,y =e^(sqrt( t) ),then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  10. If x=sqrt(a^sin^((-1)t)), y=sqrt(a^cos^((-1)t)), show that (dy)/(dx)=-...

    Text Solution

    |

  11. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

    Text Solution

    |

  12. If x=log theta ,theta gt 0and y= (1)/( theta ),then (d^(2) y)/(dx^(2)...

    Text Solution

    |

  13. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) i...

    Text Solution

    |

  14. If x=f(t) and yy=g(t) are differentiable functions of t then (d^...

    Text Solution

    |

  15. (d^2x)/(d y^2) equals

    Text Solution

    |

  16. (d^2x)/(d y^2) equals

    Text Solution

    |

  17. Given f(x)=2x,xlt0=0,xge0,"then "f(x) is

    Text Solution

    |

  18. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  19. If for x (0,1/4), the derivative of tan^(-1)((6xsqrt(x))/(1-9x^3)) is ...

    Text Solution

    |

  20. Derivative of tan^(3)theta with respect to sec^(3)theta at theta=(pi)/...

    Text Solution

    |