Home
Class 12
MATHS
Discuss the continuity & the derivabil...

Discuss the continuity & the derivability of `'f'` where `f(x)=` degree of `(u^(x^3)+u^2+2u-3)a t\ x=2` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity at x=2 where f(x)={4x+8,x!=2;12,x=2}

Discuss the continuity of f(x)=sgn(x^(2)-2x+3)

Discuss the continuity of the function f, where f is defined by f(x)={-2, ifxlt=-1 2x , if-1 1

Discuss the continuity of the function f(x)={2x-1(3x)/2 ,ifx<2,ifxgeq2

Discuss the continuity for f(x)=(1-u^(2))/(2+u^(2)) where u=sec x.

Let f(x)= Degree of (u^(x^(2))+u^(2)+2u+3) Then,atx =sqrt(2),f(x) is

Find the point of discontinuity of y=f(u) where f(u)=(3)/(2u^(2)+5u-3) and u=(1)/(x+2)

Discuss the continuity of f(x) in [0, 2], where f(x) = {{:([cos pi x]",",x le 1),(|2x - 3|[x - 2]",",x gt 1):} where [.] denotes the greatest integral function.

Discuss the continuity for f(x) = (1 - u^(2))/(2 + u^(2)) , where u = tan x.

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity and differentiability in 0,2] of f(x)={|2x-3|...

    Text Solution

    |

  2. Let a1 and a2 be two values of a for which f(x)= x*{ln(1+x)+ln(1-x)}/(...

    Text Solution

    |

  3. Discuss the continuity & the derivability of 'f' where f(x)= degree ...

    Text Solution

    |

  4. Consider the function f(x)=[x^2|cospi/(2x)|\ if\ x!=0 0,\ \ \ \ \ \ ...

    Text Solution

    |

  5. A derivable function f : R^(+) rarr R satisfies the condition f(x) - f...

    Text Solution

    |

  6. If f(x) = {{:(x - 3",",x lt 0),(x^(2)-3x + 2",",x ge 0):}"and let" g(x...

    Text Solution

    |

  7. The integer ' n ' for which (lim)(xvec0)((cos x-1)(cos x-e^x))/(x^n) i...

    Text Solution

    |

  8. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

    Text Solution

    |

  9. Let f: Rvec be such that f(!)=3a n df^(prime)(1)=6. Then ("lim")(xvec...

    Text Solution

    |

  10. Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...

    Text Solution

    |

  11. If (lim)(x->0)(sin(n x)[(a-n)n x-t a n x])/(x^2)=n (n >0) then the val...

    Text Solution

    |

  12. If a function f: [-2a, 2a] -> R is an odd function such that, f(x) = f...

    Text Solution

    |

  13. The function given by y=||x|-1| is differentiable for all real n...

    Text Solution

    |

  14. If |f(x1) - f(x2)| le (x1 - x2)^(2), AA x1 , x2 in R. Find the equatio...

    Text Solution

    |

  15. Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...

    Text Solution

    |

  16. If lim(x-&gt;0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b &gt;0,where theta...

    Text Solution

    |

  17. If f(x) {-x-pi/2,xle-pi/2 and -cosx,-pi/2 < xle0 and x-1,0< x le1 and ...

    Text Solution

    |

  18. Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in...

    Text Solution

    |

  19. Let f: (0,1) to R be defined by f(x)=(b-x)/(1-bx) where b is a constan...

    Text Solution

    |

  20. Let f(x)={x^2|cospi/x|,\ x!=0 ,\ x=0,\ x in Rdot\ t h e n\ f is (a) D...

    Text Solution

    |