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 not periodie? (a) |sin3x|+sin^2x (b) cossqrt(x)+cos^2x (c) cos4x+tan^2x (d) cos2x+sinx

Integrate the following functions with respect to x . (sin4x)/(sinx)

Integrate the following functions with respect to x. (sin4x)/(sinx)

Integrate the following functions w.r.t x. x^(2)sinx

Which of the following function is not differentiable at x=0? f(x)=min{x ,sinx} f(x)={0,xgeq0x^2,x<0 f(x)= x^2 sgn(x)

Find the derivative of the following function f(x) = x-3 sinx

If the following functions are defined from [-1,1]to[-1,1], select those which are not bijective. (a) sin(sin^(-1)x) (b) 2/pisin^(-1)(sinx) (c) (sgn(x))ln(e^x) (d) x^3(sgn(x))

Which of the following pair(s) of function have same graphs? f(x)=(secx)/(cosx)-(tanx)/(cotx),g(x)=(cosx)/(secx)+(sinx)/(c o s e c x)

Check the nature of the following differentiable functions (i) f(x) = e^(x) +sin x ,x in R^(+) (ii) f(x)=sinx+tan x- 2x,x in(0,pi//2)

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)