Which of the following functions is periodic? a) x-[x] b) sin(1/x) c) xcos(x) d) None of these

Which of the following functions is non-periodic? (1) 2^x/2^[x]= (2) sin^(-1)({x}) (3) sin^(-1)(sqrt(cosx)) (4) sin^(-1)(cos x^2)

Which of the following functions is not periodic? (a) |sin3x|+sin^2x (b) cossqrt(x)+cos^2x (c) cos4x+tan^2x (d) cos2x+sinx

Which of the following functions is not periodic? (a) |sin 3x| +sin^(2)x " (b) " cos sqrt(x)+cos^(2)x (c ) cos 4x +tan^(2)x " (d ) " cos 2x + sinx

Which of the following function/functions is/are periodic ? (a) sgn(e^(-x)) " x>0 (b) " sinx + |sinx| (c ) min(sinx, |x|) " (d) " (x)/(x)

Which of the following function/functions is/are periodic ? (a) sgn(e^(-x)) " (b) " sinx + |sinx| (c ) min(sinx, |x|) " (d) " (x)/(x)

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Differentiate the following function with respect to x:sin(x^x)

Differentiate the following function with respect to x: x^(sin^(-1)x)

Which of the following pairs of functions is NOT identical? (a) e^((lnx)/2) and sqrt(x) (b) tan(tanx) and cot(cotx) (c) cos^(2)x+sin^(4)x and sin^(2)x+cos^(4)x (d) (|x|)/x and sgn(x) where sgn(x) stands for signum function.

The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in N , is (where [dot] represents greatest integer function) then which of the following is correct a. n (b) 1 (c) 1/n (d) none of these