Which of the following is true for `f(x)=sin^(-1)((3{x})/(1+{x}))`

Which of the following is true for f(x)=sgn(x)xx sin x

Which of the following is true for f(x) = sgn(x) xx sin x

Find the domain of the following : f(x) = sqrt (1-2x)+3 sin^(-1) ((3x-1)/2) .

If f(x)={[-3x+2,x =1]} ,then which of the following is not true (A) f'(1^(+))=1 (B) f'(1^(-))=-3 (C) f'(1^(-))=f'(1^(+))=1 (D) f is not differentiable at x=1

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))

Find the domain of each of the following functions: f(x)=sin^(-1)x^(2) (ii) f(x)=sin^(-1)x+sin x

Which of the following statement is true for the function f(x)={{:(sqrt(x),","x ge 1),(x^(3) ,","0 le x lt 1),((x^(3))/(3)-4x,"," x lt 0):}

Which of the following is/are true? I. The derivative of f(x)=1+x+x^(2)+.....+x^(50) at x=1 is 1250. II. The derivative of f(x)=(x+1)/(x)" is "1/x^(2) .

Which of the following statement are true for the function f defined for -1<=x<=3 in the figure lim_(x rarr-1^(+))f(x)=1