Home
Class 12
MATHS
If f(x)=|(log)(10)x| , then at x=1 f(x)...

If `f(x)=|(log)_(10)x|` , then at `x=1` `f(x)` is continuous and `f^(prime)(1^+)=(log)_(10)e` (b) `f(x)` is continuous and `f^(prime)(1^+)=-(log)_(10)e` (c) `f(x)` is continuous and `f^(prime)(1^-)=(log)_(10)e` (d) `f(x)` is continuous and `f^(prime)(1^+)=-(log)_(10)e`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos
  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|(log)_(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^+)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=(log)_(10)e f(x) is continuous and f^(prime)(1^-)=-(log)_(10)e

If f(x)= | log_10x| then at x=1.

If f(x)=|log_(e) x|,then

If f(x)=e^(x)+2x , then f(ln 2)=

If f(x)=log_(x) (log x)," then find "f'(x) at x= e

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

If f(x)=(log)_e((x^2+e)/(x^2+1)) , then the range of f(x)

If f(x)=|(log)_e|x|| , then (a) f(x) is continuous and differentiable for all x in its domain] (b) f(x) is continuous for all x in its domain but not differentiable at x=+-1 (c) f(x) is neither continuous nor differentiable at x=+-1 (d) none of these

If f^(prime)(1)=2 and y=f((log)_e x) , find (dy)/(dx) at x=e .

If f(x)=(log)_(x^2)(logx) , then f^(prime)(x) at x=e is (a) 0 (b) 1 (c) 1/e (d) 1/2e

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Evaluate : tan(cos^-1(-7/25))

    Text Solution

    |

  2. The function f(x)=tanx is discontinuous on the set {npi; n in Z} (b)...

    Text Solution

    |

  3. If f(x)=|(log)(10)x| , then at x=1 f(x) is continuous and f^(prime)(1...

    Text Solution

    |

  4. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

    Text Solution

    |

  5. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a...

    Text Solution

    |

  6. If f(x)={m x+1,xlt=pi/2sinx+n ,x >pi/2 is continuous at x=pi/2, t...

    Text Solution

    |

  7. If f(x)={((36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0),(k ,x=0)) is ...

    Text Solution

    |

  8. If f(x)={(1-cos10x)/(x^2a),x<0(sqrt(x))/(sqrt(625)+sqrt(x)-25),x >0,x=...

    Text Solution

    |

  9. If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is ...

    Text Solution

    |

  10. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx...

    Text Solution

    |

  11. The value of a for which the function f(x)={(((4^x-1)^3)/(sin(x/a)log...

    Text Solution

    |

  12. If f(x)={(ax^2+b ,0lex<1),(4,x=1),(x+3,1ltxge2)) then the value of(a...

    Text Solution

    |

  13. If f(x)={(2^(x+2)-16)/(4^x-16), if x!=2, k if x=2 is continuous at x=2...

    Text Solution

    |

  14. Let f(x)={(1-cos4x)/(x^2a,),ifx<0(sqrt(x))/(sqrt(16+sqrt(x))-4),ifx >0...

    Text Solution

    |

  15. if the function f(x) defined by f(x)=(log(1+a x)-"log"(1-b x))/x ,...

    Text Solution

    |

  16. Find the value of a if the function f(x) defined by f(x)={2x-a, ,x<...

    Text Solution

    |

  17. Find the value of the constant k so that the function given belo...

    Text Solution

    |

  18. Discuss the continuity of the f(x) at the indicated point: f(x)=...

    Text Solution

    |

  19. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x)i scon t inuou sa tx=...

    Text Solution

    |

  20. If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=pi/4dot Find the value of f(pi/4) ...

    Text Solution

    |