[" If "f(x)={[a+cos^(-1)(x+b),:quad x>=1],[-x,:quad x<1]" is "],[" differentiable at "x=1," then the value of "b-],[" a is equal to "]

If f(x)=cos^(-1)(cos x) and g(x)=x, then

If f(x)={{:(a+cos^(-1)(x+b),":",xge1),(-x,":",xlt1):} is differentiable at x = 1, then the value of b-a is equal to

If f(x)={{:(a+cos^(-1)(x+b),":",xge1),(-x,":",xlt1):} is differentiable at x = 1, then the value of b-a is equal to

For the function f(x)=x cos((1)/(x)),x>=1

[" 14.If "f(x)=(1-cos2x)/(x^(2))quad " (b) "x!=0" and "f(x)" is continuous at "x=0" ,then "f(0)=?],[[" (a) "1," (b) "2," (c) "3," (d) None of these "]]

The function,f(x)=cos^(-1)(cos x) is

The function, f(x) = cos^(-1) (cos x) is

If f(x)=cos^(-1)(4x^3-3x)and lim_(xto1/2+)f'(x)=a and lim_(xto1/2-)f'(x)=b then a + b+ 3 is equal to ____

If f(x)=cos^(-1)(4x^3-3x)and lim_(xto1//2+)f'(x)=a and lim_(xto1//2-)f'(x)=b then a + b+ 3 is equal to

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then