Home
Class 12
MATHS
Consider the function f(x)=absx , x in R...

Consider the function `f(x)=absx` , `x in R`
Draw the graph of `f(x)= absx`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|57 Videos

  • DETERMINANTS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|121 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=abs(x) —3 draw the graph of f(x)

Consider the function f(x)={(1-x,x 0):} Draw a rough sketch of f(x) .

Consider the function f(x)=2-3x,x in R,xge0 . Find its range.

Consider the function f:RrarrR defined by f(x)=-abs[x] Draw the graph of f.

Consider the function f(x)=absx , x in R Show that the function is continious at x=0.

Consider the function f(x)=absx+abs[x+1] Find the integral int_-2^1f(x)dx

Consider the function f:R rarr R defined by f(x)=|x-1| . Draw the graph of f(x).

Consider the function f(x)={(1-x,x 0):} Draw a rough sketch of f(x) . What is your inference from the graph about its continuity. Verify your answer using limits.

Draw the graph of the function f(x)=x^2 , x in R

Consider the function f(x)={(sinx/x, x Find lim_(xrarr0)f(x)

MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Find dy/dx of y=sin^-1(3x-4x^3)+cos^-1(4x^3-3x)

    Text Solution

    |

  2. Find dy/dx of y=tan^-1(sqrt((1-cosx)/(1+cosx)))

    Text Solution

    |

  3. Consider the function f(x)=absx , x in R Draw the graph of f(x)= abs...

    Text Solution

    |

  4. Consider the function f(x)=absx , x in R Show that the function is c...

    Text Solution

    |

  5. Find the derivative of y=x^a+a^x with respect to x.

    Text Solution

    |

  6. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2

    Text Solution

    |

  7. Check the continuity of the function given by f(x)={(xsinfrac1x,xne0),...

    Text Solution

    |

  8. Verify mean value theorem for the function f(x)=x+frac1x in the interv...

    Text Solution

    |

  9. Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0)...

    Text Solution

    |

  10. If y=[x+sqrt(x^2+9)]^n , show that dy/dx=(ny)/(sqrt(x^2+9)

    Text Solution

    |

  11. Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):}...

    Text Solution

    |

  12. Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):}...

    Text Solution

    |

  13. Find dy/dx, If x=a(t-sint) , y=a(1+cost)

    Text Solution

    |

  14. Verify Rolle's theorem for the function f(x)=x^2+2 in the interval [...

    Text Solution

    |

  15. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  16. Verify mean value theorem for the function f(x)=x^2-4x-3 in the interv...

    Text Solution

    |

  17. Find 'a' and 'b' if the function f(x)={(sinx/x,-2lexle0),(axx2^x,0le...

    Text Solution

    |

  18. Find the relation between 'a' and 'b' if the function f defined by f...

    Text Solution

    |

  19. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2

    Text Solution

    |

  20. Find the value of a and b such that the function f(x)={(5a,xle0),(asin...

    Text Solution

    |