If `f(x)=|log_10 x|` then at `x=1` 1) fis not continuous2) fis continuous but not differentiable3) fis differentiable4) the derivative is 1

If f(x)=|log_(10)x| then at x=11 fis not continuous2) fis continuous but not differentiable 3 ) fis differentiable4) the derivative is 1

If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than or equal to x, then f(x) is continuous and differentiable at x=3 continuous but not differentiable at x=3 differentiable but not continuous at x=3 neither differentiable nor continuous at x=3

If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than or equal to x , then f(x) is continuous and differentiable at x=3 continuous but not differentiable at x=3 differentiable but not continuous at x=3 neither differentiable nor continuous at x=3

If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than or equal to x, then f(x) is continuous and differentiable at x=3 (b) continuous but not differentiable at x=3 (b) differentiable but not continuous at x=3 (d) neither differentiable nor continuous at x=3

Show that the function f(x)={|2x-3|[x]x 0 is continuous but not differentiable at x=1

If f(x)={s in(cos^(-1)x)+cos(sin^(-1)x),xlt=0s in(cos^(-1)x)-cos(sin^(-1)x ,x >0) . Then at x=0 f(x) is continuous and differentiable f(x) is continuous but not differentiable f(x) not continuous but differentiable f(x) is neither continuous nor differentiable

If f(x)={s in(cos^(-1)x)+cos(sin^(-1)x),xlt=0s in(cos^(-1)x)-cos(sin^(-1)x ,x >0) . Then at x=0 f(x) is continuous and differentiable f(x) is continuous but not differentiable f(x) not continuous but differentiable f(x) is neither continuous nor differentiable

if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} a. f is continuous at x = 0 b. f is continuous at x = 0 but not differentiable at x = 0 c. f is differentiable at x = 0 d. f is not continuous at x = 0

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

If f(x)=2x+|x-x^(2)|,-1<=x<=1 ,then f(x) is is(a) continuous but not differentiable in [-1,1]