`f(x) = cot^(-1)(tanx) + sin^(-1) (cosx)` is- A) continuous at x = 0 B) differewntiable at x =0 C) discontinuous at x=0 D) non derivable at `x =pi`

Let f'(x)=3x^2sin1/x-xcos1/x , if x!=0\ ; f(0)=0 and f(1//pi)=0 then: f(x) is continuous at x=0 f(x) is non derivable at x=0 f'(x) is continuous at x=0 f'(x) is non derivable at x=0

The function f(x)=sin^(-1)(cos x) is discontinuous at x=0 continuous at x=0 differentiable at x=0 non of these

Let f(x)= { [(x)/(2x^(2)+|x|)", "x!=0],[1", "x=0] } then f(x) is (A) continuous but non-differentiable at x=0 (B) differentiable at x=0 (C) discontinuous at x=0 (D) none of these

The function f(x)=sin^(-1)(cosx) is (a) discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

The function f(x)=sin^(-1)(cos x) is discontinuous at x=0 (b) continuous at x=0( c) differentiable at x=0 (d) none of these

The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

The function f(x)=sin^(-1)(cosx) is (a) . discontinuous at x=0 (b). continuous at x=0 (c) . differentiable at x=0 (d) . non of these

If f(x) ={ (x.ln(cosx))/ln (1+x^2) x!=0 , 0, x=0 then a) f is continuous at x =0 b) f is continuous at x =0 but not differentiable at x=0 c) f is differemtiable at x =0 d) f is not continuous at x =0

f(x)= (1-sinx+cosx)/(1+sinx+cosx) discontinuous at x=pi . Find f(pi) so that f(x) is continuous x=pi

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