Home
Class 11
MATHS
If f(x) = |log10x| then at x=1...

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

A

f(x) is continuous and `f'(1^+)` =`log_10e`

B

f(x) is continuous and `f'(1^+)` = `log_e10`

C

f(x) is continuous and `f'(1^+)` = `log_e10`

D

f(x) is continuous and `f'(1^+) = log_10e`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

If f(x) = cos(log_e x) , then find the value of f(x) cdot f(y) - 1/2[f(x/y) + f(xy)]

Knowledge Check

  • Let f(x)=|log|x||, then-

    A
    domain of `f=(0,oo)`
    B
    domain of `f=RR-{0}`
    C
    f is a continuous function
    D
    f is not differentiable at` -1 , 1 `
  • If f (x) = sin (log x) then the value of f(xy)+f((x)/(y))-2f (x) cos (log y) is-

    A
    `2f(x) f(y)`
    B
    `-1`
    C
    1
    D
    0
  • If f(x)=log|2x|,x!=0 then f'(x) is equal to

    A
    `1/|x|`
    B
    `1/x`
    C
    `-1/x`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

    If f(x)=log(cosx), then the value of f''(x) is-

    If f(x) = cos (log _(e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] has the value-

    IF f(x)=log(3x+1), then the value of f'' (1) is-

    If f(x)=log_(x)(log_(e)x) , then the value of f'(e ) is -